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Faculty Details

Dr. Shantha Kumari K

Professor & HOD

  • B.Sc (Mangalore University) -1994
  • M.Sc (Mangalore University) - 1996
  • MPhil (Vinayaka Missions University) - 2009
  • PhD (Sri Chandrasekharendra Saraswathi Viswa MahaVidyalaya, Kanchipuram) - 2015

    Academic Background

    Date of Join: 2016-06-01
    Email: hodmathsajiet@ajiet.edu.in shantha@ajiet.edu.in shanthakk99@gmail.com

    Responsibilities

    Responsibility at Department

  • Head Of The Department
  • Research Center(Superviser)
  • Womens Welfare Committee(Coordinator)
  • Grievance and Redresaal Committee(Coordinator)
  • SC/ST Committee(Coordinator)
  • IIC (Member)
  • Science Club(Member)
  • Academic Audit Committee(Member)
  • NAAC Criteria 5 (member)
  • NBA Criteria 8 (Member)
  • NBA Criteria 10(member)


      1. Adem Kilicman; Shantha Kumari Kurumujji; Arjun K. Rathie. (2024). On a new class of integrals involving generalized hypergeometric functions. Journal of Siberian Federal University. Mathematics & Physics, 17(2), 266-271, http://journal.sfu-kras.ru/en/article/152681 or https://elib.sfu-kras.ru/handle/2311/152681
      2. Kilicman, A., Kurumujji, Shantha Kumari. & Rathie, Arjun K. (2022). A note on generalizations of Bailey's Identity involving products of generalized hypergeometric series. Communications of the Korean Mathematical Society, 37(2), 575-583. https://doi.org/10.4134/CKMS.C210178
      3. K. Shantha Kumari, Arjun K. Rathie, Shwetha S. Shetty. (2022). On a new class of finite integrals involving generalized hypergeometric function. Thai Journal of Mathematics (TJM), 20(1), 245-255, https://thaijmath2.in.cmu.ac.th/index.php/thaijmath/article/view/1322
      4. Junesang Choi,, Shantha Kumari Kurumujji , Adem Kilicman and Arjun Kumar Rathie. (2022). Certain integral formulae associated with the product of generalized hypergeometric series and several elementary functions derived from formulas for the beta function. Symmetry, 14(2), 389. https://doi.org/10.3390/sym14020389
      5. D'Souza, Vilma, Kurumujji, Shantha Kumari. (2022). On an integral involving $bar{I}$-function. Communications of the Korean Mathematical Society, 37(1), 207-212. https://doi.org/10.4134/CKMS.c210038
      6. V. D'Souza, S. Kumari K. . (2020). On two identities for I-function. TWMS Journal of Applied and Engineering Mathematics, 10(2), 428-433. ISSN: 2146-1147, http://jaem.isikun.edu.tr/web/index.php/archive/105-vol10no2/533-on-two-identities-for-i-function
      7. Vivek Rohira, Shantha Kumari. K, Arjun K. Rathie. (2018). On a new summation formula for H-function. Aryabhatta Journal of Mathematics & Informatics, 10(1), 173-178. ISSN: 0975-7139.
      8. Insuk Kim, Shantha Kumari. K., and Yashoverdhan Vyas. (2018). On a new class of integrals involving generalized hypergeometric function 3F2. Honam Mathematical Journal, 40(1), 61-73, https://doi.org/10.5831/HMJ.2018.40.1.61
      9. Vivek Rohira, Shantha Kumari. K, Arjun K. Rathie. (2017). A new class of integral involving generalized hypergeometric function and the H-function. International Journal of Latest Engineering Research and Applications, 02(10), 05-09. ISSN: 2455-7137.
      10. Shantha Kumari. K, Arjun K. Rathie (2016). A note on a sum of the series $1-frac{1}{3}+ frac{1}{5}- cdots = frac{pi}{4}$. Mathematical Sciences International Research Journal, 5(2), 73-75. ISSN: 2278-8697, https://www.imrfjournals.com/msirj52
      11. Shantha K. Kumari, Vasudevan T.M. Nambisan (2016). On a double integral involving I-function of two variables. Applications and Applied Mathematics (AAM), 11(1), 300-306. ISSN: 1932-9466, https://digitalcommons.pvamu.edu/aam/vol11/iss1/19/
      12. K. Shantha Kumari, Arjun K. Rathie, Jose Luis Lopez Bonill, (2015). A note on a sum of series 1/1.3 + 1/3.5 + 1/5.7 + ... = ½, Prespacetime Journal, 6(12), 1407-1409, https://prespacetime.com/index.php/pst/article/view/862
      13. Jose Luis Lopez-Bonilla, K. Shantha Kumari, Arjun K. Rathie (2015). Integrals involving generalized hypergeometric function 4F3. Prespacetime Journal, 6(10), 992-994. ISSN: 2153-8301. https://prespacetime.com/index.php/pst/article/view/822
      14. Shantha K. Kumari, Vasudevan T.M. Nambisan (2014). On some summation formulae for the I-function of two variables. Applications and Applied Mathematics (AAM), 9(1), 360-370, https://digitalcommons.pvamu.edu/aam/vol9/iss1/23/
      15. Shantha K. Kumari, T.M. Vasudevan Nambisan, Arjun K. Rathie (2014). A study of I-functions of two variables. Le Matematiche, 69(1), 285-305. https://lematematiche.dmi.unict.it/index.php/lematematiche/article/view/1036
      16. Prathima, J., Nambisan, T. M., & Kurumujji, S. K. (2014). A study of I-functions of several complex variables. International Journal of Engineering Mathematics, 2014, Article ID 931395. http://dx.doi.org/10.1155/2014/931395
      17. Shantha K. Kumari, T.M. Vasudevan Nambisan. (2013). On certain derivatives of the I-function of two variables. International Journal of Science, Environment and Technology, 2(4), 772-778. ISSN: 2278-3687, https://www.ijset.net/contents.php?iid=27
      18. Shantha Kumari K, T.M. Vasudevan Nambisan. (2013). Integrals involving I-function of two variables. Advances in Computational Mathematics and its Applications (ACMA), 2(4), 324-328. ISSN: 2167-6356.
      19. Shantha Kumari.K, T.M. Vasudevan Nambisan. (2012). A summation formula for the multivariable A-function. Applied Mathematical Sciences (Hikari Ltd.), 16(41-44), 2195-2201, https://www.m-hikari.com/ams/ams-2012/ams-41-44-2012/kumariAMS41-44-2012.pdf
      20. Shantha Kumari. K., T.M. Vasudevan Nambisan. (2010). Differentiation formulae for the A-function of several variables. International Journal of Mathematics Research, 2(1-2), 87-92. ISSN: 0976-5840.
      21. Shantha Kumari K, T.M. Vasudevan Nambisa.. (2010). Some reduction formulae for the A-function of several variables. International Journal of Mathematical Sciences and Engineering Applications, 4(IV), 75-88. ISSN: 0973-9424.
    1. Special Functions : Hypergeometric functions, H-function, I-function
    1. Received Certificate of Excellence in Peer-Reviewing in recognition of an outstanding contribution to the quality of a text book under B P International Publishers, Kolkata, West Bengal-2024
    2. Editor of the book series "Futuristic Trends in Physical Sciences Volume 3 Book 3" published by Iterative International Publishers (IIP), Selfypage Developers Pvt Ltd. Link : https://www.iipseries.org/view-pub-book.php?bookid=150&bookname=futuristic-trends-in-physical-sciences-volume-3-book-3
    3. Member of BOE , NMAM Institute of Technology, Nitte
    4. Successfully Delivered Invited talk on "Hypergeometric function and its various generalizations" as a resource person in the national seminar held at Gurudev College, Payyannur, Kerala, on 13th March 2023
    5. External member in the Doctoral Advisory Committee (DAC) of a research scholar at Manipal Institute of Technology, Manipal- 2023
    6. Member of BOE , SJEC, Vamanjoor
    7. VC Nominee for the University Department in the Research Advisory Committee for one research scholar of Shri Madhwa Vadiraja Institute Of Technology And Management, Udupi
    8. Member of Technical Advisory Committee in Two-Day International Conference on Recent Trends in Applied Sciences conducted on 3rd and 4th August 2022 at Srinivas Institute of Technology, Valachil, Mangaluru.
    9. Session Coordinator for the 2022 Second Global Conference on Recent Advances in Sustainable Materials (GC-RASM 2022) held at A.J. Institute of Engineering & Technology, Karnataka, India during 28 - 29, July 2022.
    10. Reviewer of the papers in the second International conference on Sustainable Urban Development, Resource Conservation and Food Security - SURF 2020 hosted by BIT, Mangalore
    11. Successfully completed with Elite NPTEL Online Certification course on "Discrete Mathematics (IITRopar)" and scored one among the top 5% of highest marks, during July-Oct 2019.
    12. Member, Board of Examiners for the evaluation of the PhD Thesis in Mathematics, Kannur University, Kerala - Year: 2019
    13. Doctoral Committee Member(External Expert) for two research scholars of Mangalore Institute of Technology and Engineering, Moodabidri, Karnataka
    14. Recognized research supervisor of Visveswaraya Technical University and presently guiding 3 scholars for their PhD.
    15. 15. Won the best paper presentation award for the oral presentation. For the paper "Some identities for the I-function of two variables" in the National Conference on Current Trends in Scientific Research for Engineering Applications [NCSEA-2014], organized by Departments of Science, St. Joseph Engineering College, Vamanjoor on 17-18, July 2014
    16. Qualified in Karnataka State Eligibility Test (KSET) for Lecturer Assistant Professorship in Mathematical Science, conducted by KSET centre, Mysore(Accredited by UGC), in 2013.
    17. Qualified PGDIT from MAHE deemed university, MANIPAL, in 2001.
    1. I.S.T.E. (Indian Society for Technical Education): Life Member
    2. IMS (Indian Mathematical Society): Life Member
    3. AMTI (Association of Mathematics Teachers of INDIA): Life Member
    4. RGP (Rajasthan Ganitha Parishad), INDIA: Life Member
    5. VPI (Vijnana Parishad of India), Orai, INDIA: Life Member
    6. SSFA (Society for Special Functions and their Applications), INDIA : Life Member
    1. Participated in the Five-Day Short Term Training Program (STTP) on "Hands-On AI Tools: Elevate Your Creative Research Writing (The Complete Research Writing Course)" jointly organized by the Department of Mechanical Engineering, Radhakrishna Institute of Technology and Engineering (RITE), Bhubaneswar, Odisha, India & RSP Science Hub, Coimbatore, Tamil Nadu, India on June 17-21, 2024.
    2. Participated in the AICTE Recognized Faculty Development Programme on Digital Tools for Teaching and Learning, conducted by Media Engineering Department, National Institute of Technical Teachers Training & Research Sector-26, Chandigarh from March 11-15, 2024, at A J Institute of Engineering and Technology, Mangalore.
    3. Participated in the Five-day Virtual International Faculty Development Program on “Exploration of Mathematics in Emerging Fields” organized by the Department of Mathematics, PPG College of Arts and Science, Coimbatore, held during February 21-25, 2024.
    4. Participated in the 5-Day Faculty Development Program on “Mathematics in Engineering and Science - Importance and Applications,” held at VIT-AP University, Andhra Pradesh during January 2-6, 2024.
    5. Attended a webinar entitled "How to Write and Publish Research Articles Competently?" that was held online on 26th December 2023 by University of Technology and Applied Sciences, Ibri, Sultanate of Oman.
    6. Participated in the "8 Day National level Online Faculty Development Program on Research Methodology using ChatGPT & AI tools and Funding Opportunities for Research," organized by the PG Department of Computer Applications, The Internal Quality Assurance Cell (IQAC), and Lincoln University College Marian Research Centre (LUC MRC) of Marian College Kuttikanam (Autonomous), in association with The Kerala State Higher Education Council (KSHEC) from November 23, 2023 to December 1, 2023.
    7. Successfully completed with Elite NPTEL Online Certification course (FDP) of 12 weeks on "Cyber Security and Privacy" during July-Oct 2023.
    8. Participated in the Faculty Development Programme on “Changing Role of Teachers and Evolving Profile of Students and Emerging Trends in Education” conducted by the NEP Committee in association with IQAC Committee, A.J. Institute of Engineering & Technology, Mangaluru on June 10, 2023.
    9. Actively participated in "Prajna-2023"-Educational Symposium for Lecturers and Professors on the theme "Education for Empowerment" held at Ramakrishna Math, Mangalore on January 21, 2023.
    10. Attended a 3-day FDP on “Mathematics Using Python“ from December 8-10, 2022 at VVCE, Mysore.
    11. Successfully completed an 8-day course on cyber security during November 7-16, 2022, organized by ICT Academy under the Microsoft Cybershiksha for Educators program.
    12. Participated in the webinar on "NEP Implementation of Technical Institution" at AJIET, Mangaluru, on September 10, 2022.
    13. Attended the International Training Workshop on "Computational Special Functions and Their Applications" organized by MathTech Thinking Foundation, INDIA, from April 5-7, 2022.
    14. Participated and successfully completed the 5-day online FDP on the theme “Inculcating Universal Human Values in Technical Education” organized by All India Council for Technical Education (AICTE) from September 27-October 1, 2021.
    15. Participated and completed successfully AICTE Training and Learning (ATAL) Academy Online FDP on "Modern Pedagogical Techniques for Effective Teaching & Learning" from February 8-12, 2021, at NRI Institute of Technology.
    16. Participated in the Webinar"National Education Policy 2020 - Role of Teachers" delivered by Prof. K Balaveera Reddy, Chairman, BOG, NITK - Surathkal on December 4, 2020.
    17. Participated in the webinar on “Linear Algebra and its Applications” organized by the Department of Mathematics in association with ISTE faculty chapter of SMVITM, Bantakal Udupi on November 28, 2020.
    18. Participated and completed successfully AICTE Training and Learning (ATAL) Academy Online FDP on "ROAD - Response Effectiveness, Organizing Self, Attitudinal Shift, Decision Making" from November 23-27, 2020, organized by Manipal University Jaipur.
    19. Participated in the five-day online workshop on "Outcome Based Education and NBA Accreditation Process" held at MNIT Jaipur during October 19-23, 2020.
    20. Participated in the one-week online short-term course on “Gender Equality and Violence against Women during COVID-19” from October 9-13, 2020, organized by the Women Cell, Dr. B. R. Ambedkar National Institute of Technology, Jalandhar, Punjab.
    21. Participated in a webinar on “Scientific Writing for Journals” organized by Springer Nature in association with Visvesvaraya Technological University Consortium on September 30, 2020.
    22. Participated in a National webinar on “Discrete Math and Computing: The Aesthetic Interplay” held on September 15, 2020, organized by the Department of Mathematics, Dr. Ambedkar Institute of Technology, Bengaluru in association with Institute of Engineering and Technology, Rammanohar Lohia Avadh University, Ayodhya.
    23. Participated in the "Five Days International e-Seminar on “Recent Research in Mathematics (ISRRM-2020)" from September 11-15, 2020, organized by the Department of Mathematics, School of Science, GITAM (Gandhi Institute of Technology and Management), Bengaluru.
    24. Participated in a webinar on "Use of Mendeley Web Library in Research Workflow” organized by the Central Library of A. J. Institute of Engineering and Technology, Mangaluru on August 28, 2020.
    25. Participated in the Two-Day International FDP on “High Impact Teaching Skills and Mind Mapping for Better Teaching" held on August 19-20, 2020, organized by the International Centre for Business Studies (ICBS) Department of Commerce, Manipal Academy of Higher Education.
    26. Participated in the Five-Day Short Term Training Programme on "Modern Mathematical Tools in Calculus and Analytics" organized by the Department of Science and Humanities (Mathematics), Kumaraguru College of Technology, Coimbatore, conducted from August 10-14, 2020.
    27. Participated in the international webinar on “How to Write Scientific Paper?” delivered on August 9, 2020, via the SMARTx platform, organized by DKTE AN AUTONOMOUS INSTITUTE.
    28. Participated in a One Week Online International Faculty Development Program on "Recent Advances in Mathematics & Statistics" in connection with the Birth Centenary of Prof. C. R. Rao, jointly organized by the Department of Mathematics, Institute of Science and Center for Learning & Sustainability, GITAM (Deemed to be University), Visakhapatnam, Andhra Pradesh, India from August 3-8, 2020.
    29. Participated in the Webinar on "Skills Required POST COVID-19 PANDEMIC" organized on August 7, 2020, by the Department of Computer Science and Engineering, Meerut Institute of Technology, Meerut.
    30. Participated in a State-Level Webinar on “E-Content Development for Teaching Mathematics” organized by the Post Graduate and Research Department of Mathematics jointly with the Internal Quality Assurance Cell, The Madurai, Diraviyam Thayumanavar Hindu College, Tirunelveli, Tamil Nadu on August 7, 2020.
    31. Participated in the Two-Day Webinar on “Stress Management for Working Professionals” organized under IQAC by the Department of Electronics and Communication Engineering, GSSS Institute of Engineering & Technology for Women, Mysuru on August 5-6, 2020.
    32. Participated in the Five Days National Level Online Faculty Development Programme on "Linear Algebra Foundation for Machine Learning", organized by the Department of Electronics & Communication Engineering, Tontadarya College of Engineering, Mundaragi Road, Gadag, Karnataka, India from August 3-7, 2020.
    33. Participated in the One Week National Level Workshop on "LaTex" Organized by the Applied Science and Humanities Department, Sardar Vallabhbhai Patel Institute of Technology, Vasad, held from July 27 to August 1, 2020.
    34. Attended the online webinar on “Effective Use of Research Articles through Knimbus Digital Library” organized by the Central Library of A. J. Institute of Engineering and Technology, Mangaluru on July 13, 2020.
    35. Participated in an online Webinar on the topic "Women Rights under Constitution and Vishaka Guidelines on Sexual Harassment” organized under the Women Cell, Visvesvaraya Technological University, "Jnana Sangama", Belagavi on July 4, 2020.
    36. Participated in the International Webinar on"Cyber Awareness for Women" organized by Jayaraju Aniapa College for Women, affiliated with Mother Teresa Women's University, Kodaikanal, Periyakulam, Theni DT. on June 4, 2020.
    37. Participated in the Webinar on "Introduction to the World of Cyber Security” presented by Mr. Sriram Swaminathan, Cyber Security Consultant, Bank of Ireland, Dublin, Ireland, organized by Jaya Engineering College on May 28, 2020.
    38. Participated in the Webinar on “Making an Effective Research Proposal - The Winning Way” organized by Vivekananda Institute of Technology, Bengaluru in collaboration with the Institution Innovation Council (MHRD Initiative) on May 28, 2020.
    39. Successfully completed an Online one week Faculty Development Programme on "MATHEMATICAL AND STATISTICAL MODELLING" organized by the Department of Humanities and Basic Sciences (Mathematics and Statistics) of Godavari Institute of Engineering and Technology (Autonomous) from May 26-30, 2020.
    40. Participated in the “LaTeX Training” organized by D.K.M. College for Women from April 30 to May 4, 2020, with course material provided by the Spoken Tutorial Project, IIT Bombay.
    41. Completed the NPTEL online course on “Discrete Mathematics (IIT Ropar)” with a score of 86%, duration: 12 weeks (Aug-Oct 2019).
    42. Completed the NPTEL online course on “Introduction to Descriptive Statistics with R Software,” which is equivalent to one week Faculty Development Programme of AICTE, with a score of 83%, duration: 8 weeks (Feb-Apr 2019).
    43. Completed the NPTEL online course on “Introduction to Abstract and Linear Algebra,” which is equivalent to one week Faculty Development Programme of AICTE, with a score of 77%, duration: 8 weeks (Aug-Oct 2018).
    44. Participated in the National Conference on "Applications of Mathematics and Statistics in Engineering" at Manipal Institute of Technology, MAHE, Manipal, during June 20-22, 2018.
    45. Attended a Workshop on “AICTE Model Curriculum for BE-First Year Courses” organized by VTU at Sahyadri College of Engineering and Technology, May 19, 2018.
    46. Participated in the workshop “Google Apps” on September 16, 2017, jointly organized by the Department of Computer Science & Engineering and Information Science & Engineering, conducted by “Google Certified” Resource person at AJ Institute of Engineering and Technology, Mangaluru.
    47. Participated in a two-day workshop on “Analytical, Numerical and Statistical Techniques-Applications” organized by the Department of Mathematics, NMAMIT, Nitte, during July 28-29, 2017.
    48. Participated in the Faculty Enablement Programme on "COLLECTIVE WISDOM – A BETTER P.A.C.E." held on September 7 and 9, 2015, at P.A. College of Engineering, Mangalore.
    49. Participated in the TEQIP sponsored two-day workshop on “Transform Techniques and MATLAB Applications” organized by the Department of Mathematics, NMAMIT, Nitte, during April 16-17, 2015.
    50. Actively participated in the Faculty Enablement program “REACH, TOUCH & TEACH - Mastering the Art of Counselling” held on March 14, 2015, at P.A. College of Engineering, Mangalore.
    51. Participated in the Workshop on “Google Apps for Education,” held on September 19-20, 2014, at P.A. College of Engineering, Mangalore.
    52. Participated in the “National Conference on Current Trends in Scientific Research for Engineering Applications [NCSEA-2014]," organized by the Departments of Science, St. Joseph Engineering College, Vamanjoor, on July 17-18, 2014, and presented a paper.
    53. Participated in the “Workshop on LaTeX Software” organized by the Department of Mathematics, St. Joseph Engineering College, on May 22, 2013.
    54. Attended the “International Conference on Special Functions and Their Applications” held at S. V. National Institute of Technology, Surat, India, during June 27-29, 2012.
    55. Participated in the three-day Faculty Development Programme on “Linear Algebra and its Applications” organized by the Department of Mathematics & Humanities from March 3-5, 2011.
    56. Attended the DST, UGC, CSIR & KSCSTE sponsored “International Conference on Mathematical Sciences” (in honour of Professor A.M. Mathai) held at St. Thomas College, Pala, Kottayam, Kerala, during January 3-5, 2011.
    57. Participated in the “National Meet of Research Scholars in Mathematical Sciences (NMRSMS)" held at the Indian Institute of Technology, Madras, Tamil Nadu, during December 11-15, 2010.
    58. Participated in the “National Conference on Discrete Mathematics and its Applications in Science & Social Systems" during February 26-28, 2009, at Govinda Dasa College, Surathkal.
    59. Participated in the TEQIP sponsored two-day workshop on “Engineering Applications of Mathematical Sciences” organized by the Department of Mathematics and Humanities, NMAM Institute of Technology, Nitte, during February 8-9, 2007.
    60. Participated in the “National Seminar on Graph Theory" held at St. Aloysius College, Mangalore, during January 4-6, 2007.
    61. Participated in a one-day workshop on “Mathematical Tools for Engineering Applications” held on May 13, 2006, at KVG College of Engineering, Sullia.
    62. Participated in the UGC Sponsored State Level Seminar on “Ramanujan's Contributions to Number Theory and Research Opportunities in Graph Theory" organized by the Department of Mathematics, St. Philomena College, Puttur, D.K. on July 27-28, 2006.
    63. Attended the state level two-day workshop on “Applications of Mathematics to Engineering and Industries” held at S.D.M. College of Engineering and Technology, Dharwad, on September 10-11, 2005.
    64. Participated in the workshop “Calculus Made Easy” organized by YMCA, Mangalore, on January 28, 2005.
    65. Participated in the three-day National Workshop on “Application of Mathematics in Engineering and Technology” from October 1-3, 2004, at AIT (Aadichunchanagiri Institute of Technology), Chikmagalur.
    66. Participated in the “Faculty Development Programme” organized by the I.S.T.E. Chapter, K.V.G.C.E. Sullia, held on June 23-24, 2001.
    67. Participated in the part-time training program on “Introduction to Computers, DOS, WordStar and Lotus” under the UGC Computer Awareness programme organized by the Department of Statistics, Mangalore University, from January 16 to February 3, 1996.

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