Dr. Shantha Kumari

M.Sc, M.Phil, Ph.D

Professor, Dept. of Mathematics

Profile: Dr. Shantha Kumari has obtained PhD in the area of Mathematics from Sri Chandarasekharendra Saraswathi Viswa Maha Vidyalaya, Kanchipuram. She Secured her M. Phil in Mathematics from Vinayaka Missions University. She had her masters degree (MSc.) in Mathematics and BSc. from Mangalore University. She is having teaching/ research experience of more than 26 years in the various capacities from Lecturer to Assoc. Professor in the reputed technical institutions of Karnataka. She has more than 18 publications in the reputed journals and conferences in her credit. She is also a life member of ISTE, IMS, AMIT, RGP, VPI and SSFA.



  • PhD - Sri Chandrasekharendra Saraswathi Viswa Mahavidyalaya, Kanchipuram,2015
  • M Phil - Vinayaka Mission's University,2009
  • MSc - Mangalore University,1996
  • BSc - Mangalore University,1994

    • Teaching Experience
  • A J INSTITUTE OF ENGINEERING AND TECHNOLOGY, MANGALURU , 2016-TILL DATE
  • P. A. College of Engineering, Mangaluru , 2001-2016
  • KVG College of Engineering, Sullia , 1999-2001
  • N.M.A.M. Institute of Technology, Nitte , 1996-1999
    • Research Experience
  • A J INSTITUTE OF ENGINEERING AND TECHNOLOGY, MANGALURU , 2016-TILL DATE
  • Sri Chandrasekharendra Saraswathi Viswa Mahavidyalaya, Kanchipuram , 2010-2015

  • Special functions

    1. Qualified in Karnataka State Eligibility Test (KSET) for Lecturer/Assistant Professorship in Mathematical Science, conducted by KSET centre, Mysore(Accredited by UGC), in 2013.
    2. Recognized Research supervisor of VTU, Belagavi
    3. 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.
    4. Successfully completed with Elite NPTEL Online Certification course on "Introduction to Descriptive Statistics with R Software" during Feb-April 2019
    5. Successfully completed with Elite NPTEL Online Certification course on "Introduction to Abstract and Linear Algebra" during Aug-Oct 2018.
    6. External Expert member of DAC(Doctoral Advisory Committee) for a research scholar at Manipal Institute of Technology, Manipal
    7. Member of Panel of External examiners for the course Discrete Mathematics and Statistics(MCA) at St. Joseph Engineering College, Mangaluru.
    8. 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
    9. 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.
    10. 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.
    11. 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 27 September, 2021 to 1 October, 2021
    12. Reviewer of the papers in the second International conference on Sustainable Urban Development, Resource Conservation and Food Security - SURF 2020 hosted by BIT, Mangalore
    13. Member, Board of Examiners for the evaluation of the PhD Thesis in Mathematics, Kannur University, Kerala - Year: 2019
    14. Doctoral Committee Member(External Expert) for two research scholars of Mangalore Institute of Technology and Engineering, Moodabidri, Karnataka - Year :2019
    15. Presented a paper entitled "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 and won the best paper presentation award for the oral presentation.

                    JOURNALS: 20        
    JOURNALS
    1. Vilma D'Souza and Shantha Kumari. K., On an integral involving I function, Commun. Korean Math. Soc. , ISSN 1225-1763, Vol. 37, No. 1, 207-212, 2022, https://doi.org/10.4134/CKMS.c210038(Q3 Journal)
    2. Junesang Choi, Shantha Kumari Kurumujji, Adem Kilicman and Arjun Kumar Rathie, 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, 2022, https://doi.org/10.3390/sym14020389, (Q2 Journal)
    3. Adem Kilicman, Shantha Kumari Kurumujji and Arjun K. Rathie, A note on generalizations of Bailey's Identity involving products of generalized hypergeometric series , Commun. Korean Math. Soc. ISSN 1225-1763,(2022)(Q3 Journal)
    4. Shantha Kumari K, Arjun Kumar Rathie and Shwetha S Shetty, On A new Class of Finite Integrals Involving Generalized Hypergeometric Function, Thai Journal of Mathematics (TJM), Volume 20 Number 1 (2022), Pages 245-55, http://thaijmath.in.cmu.ac.th/index.php/thaijmath/article/view/3780, (Web of Science)
    5. Vilma D'Souza and Shantha Kumari. K., On two identities for I-function, TWMS J. App. Eng. Math., ISSN : 2146-1147, V.10, No.2, pp.428-433,(2020),(Web of Science)
    6. Insuk Kim, Shantha Kumari. K., Yashovardhan Vyas, On a new class of integrals involving generalized hypergeometric function 3F2, Honam Mathematical Journal, 40 (1), pp. 61-73, https://doi.org/10.5831/hmj.2018.40.1.61,(2018), (Web of Science)
    7. Vivek Rohira, Shantha Kumari. K. and Arjun K. Rathie, On a New Summation Formula for H- function , Aryabhatta J. of Mathematics & Informatics, 10 (1), ISSN: 0975-7139, pp. 173-178, (2018).
    8. Vivek Rohira, Shantha Kumari. K. and Arjun K. Rathie, "A New Class of Integral Involving Generalized Hypergeometric function and the H-function", International Journal of Latest Engineering Research and Applications, ISSN : 2455 -7137 , Vol 02 - No. 10, pp. 05 - 09, (2017).
    9. Shantha Kumari. K., Vasudevan Nambisan, T. M., On a double integral involving I - function of two variables, Applications and Applied Mathematics (AAM), (June 2016), ISSN 1932-9466, Vol. 11, Issue 1, pp. 300-306. (2016).
    10. Shantha Kumari K, Arjun K. Rathie, "A note on a sum of the series " Mathematical Sciences International Research Journal (ISSN 2278-8697), Volume 5, Issue 2, pp. 73-75, (2016).
    11. J. Lopez-Bonilla, Shantha Kumari. K., Arjun K. Rathie, "Integrals Involving Generalized Hypergeometric Function ", Prespacetime Journal, October, Volume 6, Issue 10, pp. 992-994, (2015)
    12. K. Shantha Kumari, J. Lopez-Bonilla, Arjun K. Rathie, "A note on a sum of series , Prespacetime Journal, December, Volume 6, Issue 12, pp. 1407-1409, (2015).
    13. Shantha Kumari. K., Vasudevan Nambisan, T.M., "On some summation formulae for the I-function of two variables", Applications and Applied Mathematics (AAM), ISSN 1932-9466, Vol. 9, N0. 1, pp. 360-370, (2014).
    14. Shantha Kumari. K., Vasudevan Nambisan, T. M. and Arjun K. Rathie, "A study of I-functions of two variables", Le Matematiche, doi: 10.4418/2014.69.1.22, Vol. 69, No.1, pp. 285-305, (2014).
    15. Prathima.J. Vasudevan Nambisan, T.M., Shantha Kumari. K., "A study of I-functions of several complex variables", International Journal of Engineering Mathematics, Volume 2014, and Article ID - 931395, http://dx.doi.org/10.1155/2014/931395, (2014).
    16. Shantha Kumari. K., Vasudevan Nambisan, T.M., "On certain derivatives of the I-function of two variables", International Journal of Science, Environment and Technology, Vol. 2, No 4, 772 -778, (2013).
    17. Shantha Kumari. K., Vasudevan Nambisan, T.M., "Integrals involving I-function of two variables", Advances in Computational Mathematics and its Applications (ACMA), Vol. 2, No. 4, pp.324-328. (2013).
    18. Shantha Kumari. K., Vasudevan Nambisan, T. M., "A summation formula for the multivariable A-function", Applied Mathematical Sciences (Hikari Ltd.), , Vol. 6, No. 44, pp. 2195-220, (2012).
    19. Shantha Kumari. K., Vasudevan Nambisan, T.M., "Differentiation Formulae for the A-function of several variables", International Journal of Mathematics Research, Vol 2, Number, 1-2, 87-92, (2010).
    20. Shantha Kumari. K., Vasudevan Nambisan, T.M., "Some reduction formulae for the A-function of several variables", International Journal of Mathematical sciences and Engineering applications, ISSN 0973-9424, Vol. 4., No. IV, 75-88, (2010).

    PHD: - (Completed)         3 (In Process)
    UG: - (Completed)          - (In Process)

                    PARTICIPATED: 53
    PARTICIPATED
    1. Participated in the webinar on "NEP Implementation of Technical Institution" @ AJIET, Mangaluru, 10/09/2022
    2. Attended International training Workshop on ``Computational Special Functions and Their Applications" @ MathTech Thinking Foundation, INDIA, 05/04/2022 to 07-04-2022.
    3. Participated and successfully completed the 5-day FDP on "Inculcating Universal Human Values in Technical Education", organized by @ AICTE, 27/09/2021-01/10/2021
    4. Participated & completed successfully AICTE Training And Learning (ATAL) Academy Online FDP on "Modern Pedagogical Techniques for Effective Teaching & Learning " @ NRI Institute Of Technology., 08/02/2021-12/2/2021
    5. Participated in the Webinar "National Education Policy 2020 - Role of Teachers' delivered by Prof.K Balaveera Reddy, Chairman, BOG @ NITK - Surathkal , 04/12/2020
    6. Participated in the webinar on the topic "Linear Algebra and its Applications" @ the Department of Mathematics in association with ISTE faculty chapter of SMVITM, Bantakal Udupi , 28/11/2020
    7. Participated & completed successfully AICTE Training And Learning (ATAL) Academy Online FDP on "ROAD - Response Effectiveness, Organising Self, Attitudinal Shift, Decision Making" @ Manipal University Jaipur, 23/11/2020 to 27/11/2020.
    8. Participated in the five day's online workshop on "Outcome based education and NBA Accreditation Process" @ MNIT Jaipur , 19/10/2020-23/10/2020
    9. Participated in the one week online short term course on "Gender Equality and Violence against Women during COVID-19" @ Women Cell, Dr. B. R. Ambedkar National Institute of Technology, Jalandhar, Punjab, 09/10/2020-13/10/2020.
    10. Participated in a webinar on "SCIENTIFIC WRITING FOR JOURNALS" @ Springer Nature in with Visvesvaraya Technological University Consortium , 30/9/2020
    11. Participated in a National webinar on "Discrete Math and Computing: The aesthetic interplay" @ the Department of Mathematics, Dr. Ambedkar Institute of Technology, Bengaluru in association with Institute of Engineering and Technolgy, Rammanohar Lohia Avadh University, Ayodhya., 15/09/2020
    12. Participated in the "Five Days International e-Seminar on "Recent Research in Mathematics (ISRRM-2020)" @ Department of Mathematics, School of Science, GITAM(GANDHI INSTITUTE OF TECHNOLOGY AND MANAGEMENT (GITAM),) Bengaluru, 11/09/2020-15/09/2020
    13. Participated in a webinar on "Use of Mendeley Web Library in Research Workflow" @ Central Library of A. J. Institute of Engineering and Technology, Mangaluru , 28/8/2020
    14. Participated in TWO-DAY INTERNATIONAL FDP ON "HIGH IMPACT TEACHING SKILLS AND MIND MAPPING FOR BETTER TEACHING" @ International Centre for Business Studies (ICBS) Department of Commerce, Manipal Academy of Higher Education, 19/08/2020 - 20/08/2020
    15. Participated in the Five Day Short Term Training Programme on "Modern Mathematical Tools in Calculus and Analytics" @ Department of Sclence and Humanities(Mathematics), Kumaraguru Colloge of Technology, Coimbatore, conducted , 10/08/2020-14/08/2020
    16. Participated in the international webinar on "How to Write Scientific Paper?" @ DKTE AN AUTONOMOUS INSTITUTE, 09/08/2020
    17. Participated in a State Level Webinar on "E-Content Development for Teaching Mathematics" @ the Post Graduate and Research Department of Mathematics jointly with Internal Quality Assurance Cell, The Madurai, Diraviyam Thayumanavar Hindu College, Tirunelveli ,Tamil Nadu , 7/8/2020
    18. Participated in the Webinar on " Skills Required POST COVID-19 PANDEMIC" @ Department of Computer Science and Engineering, Meerut Institute of Technology, Meerut , 7/8/2020
    19. Participated in Two Days Webinar on "Stress Management for Working Professionals" @ IQAC by the Department of Electronics and Communication Engineering, GSSS Institute of Engineering & Technology for Women , Mysuru , 5/8/2020 - 6/8/2020
    20. Participated in Five Days National Level Online Faculty Development Programme on "Linear Algebra Foundation for Machine Learning", @ the Department of Electronics & Communication Engineering, Tontadarya College of Engineering, Mundaragi Road, Gadag, Karnataka, India , 03/08/2020-07/08/2020
    21. 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 @ Department of Mathematics, Institute of Science and Center for Learning & Sustainability, GITAM (Deemed to be University), Visakhapatnam, Andhra Pradesh, India , 03/08/2020-08/08/2020
    22. Participated in the One Week National Level Workshop on "LaTex" @ Applied Science and Humanities Department, Sardar Vallabhbhai Patel Institute of Technology, Vasad held , 27/07/2020 - 01/08/2020
    23. Attended online webinar on "Effective Use of Research Articles through Knimbus Digital Library" @ Central Library of A. J. Institute of Engineering and Technology, Mangaluru , 13/7/2020
    24. Participated in online Webinar on the topic " Women Rights under Constitution and Vishaka Guidelines on Sexual Harassment" @ Women Cell, Visvesvaraya Technological University, "Jnana Sangama", Belagavi , 4/7/2020
    25. Participated in the International Webinar on "Cyber Awareness for Women" @ JAYARAJU ANIAPACKIAM COLLEGE FOR WOMEN, Affiliated to Mother Teresa Women's University, Kodaikanal, PERIYAKULAM, THENI DT. , 4/6/2020
    26. Participated in Webinar on "Making an effective Research Propoaal - The Winning Way" @ Vivekananda Institute of Technology, Bengalure 560074 in collaboration with Institution Innovation Council (MHRD Initiative) , 28/5/2020
    27. Participated in the Webinar on "INTRODUCTION TO THE WORLD OF CYBER SECURITY" presented by Mr. SRIRAM SWAMINATHAN, CYBER SECURITY CONSULTANT. NK OF IRELAND, DUBLIN, IRELAND @ JAYA ENGINEERING COLLEGE , 28/5/2020
    28. Successfully completed an Online one week Faculty Development Programme on "MATHEMATICAL AND STATISTICAL MODELLING" @ Department of Humanities and Basic Sciences (Mathematics and Statistics) of GODAVARI INSTITUTE OF ENGINEERING AND TECHNOLOGY (Autonomous) , 26/05/2020-30/05/2020
    29. Participated in the "LaTeX training" @ D.K.M. College for Women , 30/04/2020-04/05/2020
    30. Participated in National Conference on "Applications of Mathematics and Statistics in Engineering" @ Manipal Institute of Technology, MAHE, Manipal, 20/06/2018-22/06/2018
    31. Attended a Workshop on "AICTE Model Curriculum for BE-First Year Courses" organized by VTU @ Sahyadri College of Engineering and Technology, 19/05/2018
    32. Participated in the workshop "Google Apps" @ The Department of Computer Science & Engineering and Information Science & Engineering, Mangaluru, 16/09/2017
    33. Participated in a two-day workshop on "Analytical, Numerical and Statistical Techniques-Applications" @ Department of Mathematics, NMAMIT, Nitte, 28/07/2017-29/07/2017
    34. Participated in the Faculty Enablement Programme on COLLECTIVE WISDOM - A BETTER P.A.C.E." @ P.A.College of Engineering, Mangalore, 07/09/2015-09/09/2015
    35. Participated in TEQIP sponsored two-day workshop on "Transform Techniques and MATLAB Applications" @ Department of Mathematics, NMAMIT, Nitte, 16/04/2015-17/04/2015
    36. Participated in the Faculty Enablement program "REACH, TOUCH& TEACH - Mastering the art of counselling" @ P.A.College of Engineering, Mangalore, 14/03/2015
    37. Participated in the Workshop on "Google Apps for Education" @ P.A.College of Engineering, Mangalore, 19/09/2014-20/09/2014
    38. Participated and presented a paper in "National Conference on Current Trends in Scientific Research for Engineering Applications [NCSEA-2014]" @ Departments of Science, St. Joseph Engineering College, Vamanjoor, 17/07/2014-18/07/2014
    39. Participated in the "Workshop on Latex Software" @ Dept. of Mathematics, St. Joseph Engineering college, Vamanjoor, 22/05/2013
    40. Attended the "International Conference on Special Functions and their Applications" @ S. V. National Institute of Technology, Surat, India, 27/06/2012-29/6/2012
    41. Participated in the 3-day Faculty Development Programme on "Linear Algebra and its Applications" @ Department of Mathematics & Humanities, NMAMIT, Nitte, 03/03/2011-05/03/2011
    42. Attended the DST,UGC,CSIR & KSCSTE sponsored "International Conference on Mathematical Sciences" (in honour of Professor A.M. Mathai) @ St.Thomas College, Pala, Kottayam, Kerala, 03/01/2011-5/01/2011
    43. Participated in the "National Meet of Research Scholars in Mathematical Sciences (NMRSMS)" @ Indian Institute of Technology, Madras, Tamilnadu, 11/10/2010-15/10/2010
    44. Participated in the "National conference on Discrete Mathematics and its Applications in Science & Social Systems" @ Govinda Dasa College, Surathkal., 26/02/2009-28/02/ 2009
    45. Participated in the TEQIP sponsored 2-Day Workshop on "Engineering Applications of Mathematical Sciences" @ Department of Mathematics and Humanities, NMAM Institute of Technology, Nitte,, 08/02/2007-09/02/2007
    46. Participated in the "National Seminar on Graph Theory" @ St. Aloysius College, Mangalore, 04/01/2007-06/01/2007
    47. Participated in the UGC Sponsored State Level Seminar on "Ramanujan's Contributions to Number Theory and Research Opportunities in Graph Theory" @ Department of Mathematics, St. Philomena College, Puttur, D.K. , 27/07/2006-28/07/2006
    48. Participated in one day workshop on "MATHEMATICAL TOOLS FOR ENGINEERING APPLICATIONS" @ KVG College of Engineering, Sullia, 13/05/2006
    49. Attended the state level two days workshop on "APPLICATIONS OF MATHEMATICS TO ENGINEERING AND INDUSTRIES" @ S.D.M. College of Engineering and Technology, Dharwad, 10/09/2005-11/09/2005
    50. Participated in the workshop "Calculus Made Easy" @ YMCA, Mangalore, 28/01/2005
    51. Participated in three-day National Workshop on "Application of Mathematics in Engineering and Technology" @ AIT (Aadichunchanagiri Institute of Technology), Chikmagalur, 01/10/2004-03/10/2004
    52. Participated in the "Faculty Development Programme" Organised by I.S.T.E. Chapter @ K.V.G.C.E. Sullia, 23/06/2001-24/06/2001
    53. Participated in the part-time training program on " Introduction to Computers, DOS, Wordstar and Lotus" under the UGC Computer Awareness programme @ Department of Statistics, Mangalore University, 16/01/1996-03/02/1996

    1. Class Advisor @ AJIET, Mangaluru, 2021- 2022
    2. Coordinator, AJIET Science Fusion @ AJIET, Mangaluru, 2018-19
    3. Calss Advisor @ AJIET, Mangaluru, 2016-17
    4. Chairperson of Womens Welfare Committee @ AJIET, Mangaluru, 2016 to Till Date
    5. Academic Counsellor @ AJIET, Mangaluru, 2016 to Till Date
    6. Head, Department of Mathematics @ AJIET, Mangaluru, 2016 to 2020
    7. Member of College Academic Committee @ AJIET, Mangaluru, 2016 to 2020
    8. Member of Antiragging Committee @ AJIET, Mangaluru, 2016 to 2020

  • Google Scholar: - https://scholar.google.com/citations?user=WY2clZgAAAAJ&hl=en
  • Researchgate : - https://www.researchgate.net/profile/Shantha_K

    • PROFESSIONAL MEMBER
    1. Life Member of ISTE (Indian Society for Technical education)
    2. Life member of IMS (Indian Mathematical Society)
    3. Life member of AMTI (Association of Mathematics Teachers of INDIA)
    4. Life member of RGP (Rajasthana Ganitha Parishad), INDIA
    5. Life member of VPI (Vijnana Parishad of India), Orai, INDIA
    6. Life member of SSFA (Society for Special Functions and their Applications), INDIA