"No human investigation can be called real science if it cannot be demonstrated mathematically.”
……Leonardo da Vinci
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Dr. Ranjan Kumar Jana
Dr. Ranjan Kumar Jana
Associate Professor,
Department of Mathematics,
Sardar Vallabhbhai National Institute of Technology (SVNIT)
Ichchhanath, Surat-395007, Gujarat, INDIA.
Contact
Contact
Phone No: +91-261-2201991 (Office) (not working presently)Mobile No: +91-9904003868/ 9016692326Fax: +91-261-2227334 Email Id: rkj@amhd.svnit.ac.in / rkjana2003@yahoo.com
Designation: Associate Professor ( Pay Level 13A2), Department of Mathematics.
Educational Qualifications: M.Sc.(Mathematics), Ph.D.(Mathematics)
Post-Doctoral Experience: Completed post-doctoral studies for one year at University of Illinois at Urbana-Champaign, USA with Prof. Bruce C. Berndt.
Area of Specialization: Special Functions and Integral Transforms, Operations Research, Data Assimilation.
Area of Interest: Mathematical Physics, Fractional Calculus, Mittag-Leffler function, Numerical Weather Prediction, Optimization and Ramanujan's Mathematics.
Teaching Experience: 20 years 02 months (as on April 01, 2026) in permanent position
Research Experience: 22 years 04 months (as on April 01, 2026)
Date of Birth: 14-02-1981
Birth Place: Pataspur, Purba Medinipur, West Bengal, India.
Research Publications: Total: 98, Journal (71), Book Chapters (12), Book (03). Scientific Report (02), Conference Proceedings (10), Conference presentations: 89 (International 75, National 14).
Research Projects undertaken: 06 { SERB-02, CSIR-01, ISRO-01, DST-01 and SVNIT-01.(Total San. Amount INR 130 Lac) }
Research Supervision:
Post Doctoral: 01, Dr. Mahesh Kumar worked as a Post Doctoral Fellow in ISRO project.
Ph. D. Guidance: 23, Completed: 10, Ongoing: 13.
Guided 38 students for their Master dissertation, Ongoing: 02
Guided 15 students for Summer Internship
Guided 01 student for Winter Project
Mentored 01 INSPIRE Fellow for Summer Research Project
Guided 12 students for Mini Project
Organizer for several National and International forums: (Funds managed: INR 75 Lac(funded by NBHM, IMU, DST, CSIR, AICTE, DRDO, SVNIT, TEQIP).
Conferences: Organized: 19 (04 as Organizing Secretary 01 as Co-Convener 14 as Member) Attended: 43
Seminars \ Symposium: organized: 83 attended: 89
Workshops: organized: 14 attended: 19
STTP/FDP: organized: 13 (10 as Coordinator 03 as member) attended: 38
Lecture Series: Organized: 02 Attended: 04
Expert Lectures: Organized: 32 Delivered: 129
Events organized at SVNIT : 26 , Outside SVNIT: 23
Selected Publications in last three years
Selected Publications in last three years
21. S. B. Gajera, R. K. Jana, N. A. Khan and A. K. Shukla, Extended q-Jacobi polynomial and its properties. Ann Univ Ferrara 72, 87 (2026). https://doi.org/10.1007/s11565-026-00713-5
20. A. Pal, A. D. Patel, R. K. Jana and A. K. Shukla, Some fractional integral identities for the ${}_pR_q(\lambda,\ eta; z)$ function with an application to free electron laser equation, Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, https://doi.org/10.1007/s40010-026-01007-3
19. M. Kumar and R. K. Jana, Homotopy analysis method for hyperbolic system of PDEs with nonprescribed data, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 1–13. doi.org/10.1177/09544062251412190
18. K. Kushwaha and R. K. Jana, Data-Driven Hybrid Neural Ensembles-Evolutionary Framework for Dynamic Multi-Objective Green Transportation Problem, Process Integration and Optimization for Sustainability, 2026. https://doi.org/10.1007/s41660-026-00719-8
17. S. K. Gajera, R. K. Jana and A. K. Shukla, Certain properties of generalized Jacobi matrix polynomials, Georgian Math. J., 2026. https://doi.org/10.1515/gmj-2026-2006
16. R. Mondal and R. K. Jana, A supply chain model under credit period and price dependent demand: A Stackelberg Approach , RAIRO - Operations Research, 2025, 59(6), pp. 3777–3802. DOI: 10.1051/ro/2025059
15. M. Kumar and R. K. Jana, Homotopy analysis method for Burgers' equation: Application of gradient descent approach, Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, 2025, https://doi.org/10.1007/s40010-025-00922-1
14. K. M. Bhammar and R. K. Jana, Extended Bessel-Maitland function in terms of extended beta function, Journal of the Indian Math. Soc., Vol. 92, No. 4 (2025), pp. 601–616.
13. K. M. Bhammar and R. K. Jana, Extended matrix variate hypergeometric function and its related functions, Bollettino dell'Unione Matematica Italiana. https://doi.org/10.1007/s40574-025-00514-2
12. A. Mondal, R. K. Jana and D. K. Jana, Pricing and collection decisions of a closed loop supply chain under dual modes using fuzzy game theoretic approach, Process Integration and Optimization for Sustainability, 2025.
11. K. M. Bhammar and R. K. Jana, Extended analogues of gamma and beta matrix functions, Commun. Korean Math. Soc., Vol. 40 (2025), No. 2, pp. 315–332. https://doi.org/10.4134/CKMS.c240170
10 K. Kushwaha, R. K. Jana and P. Dutta, Multi Objective Multi Item Solid Transportation Problem Using Penalty Based NSGA-II: A Case Study on Fertilizer Transportation in India, Sadhana (2025) 50:67, https://doi.org/10.1007/s12046-025-02673-6
9. R. Mondal, P. Pramanik, R. K. Jana and M. K. Maiti, Credit Policy for an Inventory Model of a deteriorating item having variable Demand considering default Risk, Scientia Iranica, (2025) 32(4): 4607. https://doi.org/10.24200/sci.2022.56218.4607
8. R. Mondal and R. K. Jana, A Model for Fresh Produce with Inflation Induced Dynamic Demand under Dynamic Trade Credit Policy in Imprecise Environments, Sadhana (2024) 49:206, pp. 1-17. https://doi.org/10.1007/s12046-024-02530-y
7. J. B. Gajera and R. K. Jana, Some Inequalities for generalized $(q,k)$ Mittag-Leffler function, Mathematical Notes, Vol. 116, No. 5, 2024, pp. 960-968.
6. A. Mondal, R. K. Jana and D. K. Jana, A comparative investigation to determine whether or not to maintain strategic inventory for a two-period green supply chain model using the game theory approach, International Journal of Applied Decision Sciences, Vol. 17, No. 4, 2024, pp. 434-465.
5. R. Mondal and R. K. Jana, A Supplier-Stackleberg Game Model under Two Levels of Trade Credit Considering Default-Risk, International Journal of Supply and Operations Management, Vol. 11, Issue 3, 2024, pp. 334-350.
4. A. Mondal, R. K. Jana and D. K. Jana, Decision making in Fuzzy closed loop dual channel supply chain, Yugoslav Journal of Operations Research, Vol. 34, No. 1, 2024, pp. 23-50.
3. M. Kumar and R. K. Jana, Analysis of dust ion acoustic soliton and shock waves of damped KdV Burgers’ equation in superthermal plasmas: Adomian decomposition approach, Brazilian Journal of Physics, 2024, 54:98. https://doi.org/10.1007/s13538-024-01468-0
2. J. B. Gajera and R. K. Jana, Fractional Integral Inequalities for the $s$-$( \kappa,H)$-Convex function, Analysis, 2024. https://doi.org/10.1515/anly-2023-0061
1. J. B. Gajera and R. K. Jana, On the Tur\'{a}n type inequalities and $k$-analogue of some special functions, The Journal of the Indian Mathematical Society, Vol. 91, Nos. (1-2), 2024, pp. 145-154.
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