Published - 49

1. P. Chatterjee, R. K. Jana and B. Das, Effect of electron inertia on the speed & shape of ion-acoustic solitary waves in relativistic plasma, Czechoslovak Journal of Physics, Vol. 54, No. 4 (2004), pp. 489-496. (Springer) 

2. P. Chatterjee and R. K. Jana, Speed and Shape of Dust Acoustic Solitary Waves in the presence of dust streaming, Z. Naturforschung (Germany), Vol. 60a (2005), pp. 275-281. 

3. P. V. Shah, R. K. Jana, A. D. Patel and I. A. Salehbhai, Some Results Based on Generalized Mittag-Leffler Function, Int. Journal of Math. Analysis, Vol. 6, No. 11 (2012), pp. 503-508. 

4. S. J. Rapeli, R. K. Jana, P. V. Shah and A. D. Patel, Sheffer Polynomials in three variables, Int. J. Contemp. Math. Sciences, Vol. 7, No. 30 (2012), pp. 1477-1485. 

5. R. K. Jana, I. A. Salehbhai and A. K. Shukla, Shivleys Polynomials of Two Variables, Int. Journal of Math. Analysis, Vol. 6, No. 36 (2012), pp. 1757-1762.

6. P. V. Shah and R. K. Jana, Results on Generalized Mittag-Leffler Function via Laplace Transform, Applied Mathematical Sciences, Vol. 7, No. 12 (2013), pp. 567-570. 

7. J. C. Prajapati, R. K. Saxena, R. K. Jana and A. K. Shukla, Some Results on generalized Mittag-Leffler function Operator, Journal of Inequalities and Applications, 2013, 2013:33 doi:10.1186/1029-242X-2013-33. (Springer) 

8. I. A. Salehbhai, R. K. Jana and A. K. Shukla, Extensions of Generalized Bessel Functions, Journal of Inequalities and Special Functions, Vol. 4, No. 2 (2013), pp. 1-12. 

9. S. P. Karia, K. N. Pathak, K. S. Yadav, N. P. Chaudhary, N. C. Patel and R. K. Jana, Modification in Atmospheric Refractivity and GPS Based TEC as Earthquake Precursors, Positioning, Vol. 5 (2014), pp. 46-52. 

10. R. K. Saxena, J. P. Chauhan, R. K. Jana and A K Shukla, Further Results on the Generalized Mittag-Leffler function operator, Journal of Inequalities and Applications, (2015), 2015:75, DOI 10.1186/s13660-015-0589-4. 

11. J. P. Chauhan, P. V. Shah, R. K. Jana and A. K. Shukla, Analytic Solution for RLC Circuit of Non-integer order, Ital. J. Pure and Appl. Math., N. 36 (2016), pp. 819-826. 

12. R. K. Jana, B. Maheshwari and A. K. Shukla, Generating Function for the extended Wright type hypergeometric function, Commun. Korean Math. Soc., 32 (2017), No. 1, pp. 75-84. 

13. R. Das, R. K. Jana, M. De and M. Maiti, Prices and order quantities of substitutable products in an EPQ Model over different uncertain finite budget constraints, Journal of Intelligent and Fuzzy Systems, 33 (2017), pp. 229-244. 

14. H. S. Lekhadiya and R. K. Jana, Analysis of Extreme Rainfall Event withDifferent Microphysics and Parameterization Schemes in WRF Model, Positioning, Vol. 9, No. 1, 2018, pp. 1-11. 

15. R. K. Jana, B. Maheshwari and A. K. Shukla, Some properties of extended τ - hypergeometric function, Commun. Korean Math. Soc., 33(2018), No. 4, pp. 1159-1170. 

16. R. K. Jana, B. Maheshwari and A. K. Shukla, Note on extended hypergeometric function, Proyecciones Journal of Mathematics, Vol. 38, No. 3, 2019, pp. 591- 602. 

17. H. S. Lekhadiya and R. K. Jana, Assimilation of INSAT-3D Sounder retrieved Thermodynamic profiles using WRF model for extreme rainfall event over North Central part of India, Ital. J. Pure and Appl. Math., N. 41 (2019), pp. 369-381. 

18. D. J. Bhatt, V. N. Mishra and R. K. Jana, On a New Class of Bernstein Type Operators Based on Beta Function, Khayyam J. Math. , 6 (2020), No. 1, pp. 1-15. DOI: 10.22034/kjm.2019.97090 

19. D. J. Bhatt, V. N. Mishra and R. K. Jana, New class of beta type operators approximating integrable function, Advances in Operator Theory, 2020. https://doi.org/10.1007/s43036-019-00020-1 

20. A. Pal, R. K. Jana and A. K. Shukla, Some integral representations of the pRq(α, β; z) function, Int. J. Appl. Comput. Math 6, 72 (2020). https://doi.org/10.1007/s40819- 020-00808-3 

21. A. Pal, R. K. Jana and A. K. Shukla, Generalized fractional calculus operators and the pRq(λ, η; z) function, Iranian Journal of Science and Technology, (2020). https://doi.org/10.1007/s40995-020-00979-0. 

22. S. J. Alam, S. R. Arya and R. K. Jana, Biogeography Based Optimization strategy for UPQC PI tuning on Full Order Adaptive Observer based Control, IET Generation, Transmission & Distribution, 2021;15:279-293. https://doi.org/10.1049/gtd2.12020 

23. R. K. Jana, A. Pal and A. K. Shukla, Some properties of generalized Bessel function associated with generalized fractional calculus operators, Commun. Korean Math. Soc., Vol. 36, No. 1, 2021, pp. 41-50. 

24. D. J. Bhatt, V. N. Mishra and R. K. Jana, A study of approximation properties of Beta type summation-integral operator, Discontinuity, Nonlinearity, and Complexity, Vol. 10, No. 4, 2021, pp. 649-662. 

25. A. Pal, R. K. Jana, G. S. Khammash and A. K. Shukla, The incomplete exponential pRq(α, β; z) function with applications, Georgian Mathematical Journal, 2021, pp. 1-15. https://doi.org/10.1515/gmj-2021-2112

26. A. Pal, R. K. Jana, and A. K. Shukla, Some results on the ${}_pR_q(\lambda,\mu;z)$ function involving Pathway fractional integral operator and statistical distribution, SeMA Journal, 2021, pp. 1-15. https://doi.org/10.1007/s40324-021-00274-x

27. D. J. Bhatt, V. N. Mishra and R. K. Jana, A study on approximation properties of Durrmeyer type operator based on beta function, Nonlinear Studies, Vol. 29, No. 2, 2022, pp. 411-427.

28. A. Mondal, D. K. Jana and R. K. Jana, Competition of Forward and Reverse supply chain for selling two substitutable products: novel game theory approach, Operations Research Forum, 3:66, 2022, pp. 1-34. https://doi.org/10.1007/s43069-022-00175-3

29. F. H. Patel, R. K. Jana and A. K. Shukla, Note on extended generalized Bessel function, Palestine Journal of Mathematics, Vol. 12, No. 1, 2023, pp. 222-230.

30. F. H. Patel, R. K. Jana and A. K. Shukla, Generalized Bessel Matrix Functions, Georgian Mathematical Journal, Vol. 30, No. 3, 2023, pp. 425-433.  https://doi.org/10.1515/gmj-2023-2003

31. F. H. Patel, R. K. Jana and A. K. Shukla, Some Statistical Properties of extended generalized Bessel function, Palestine Journal of Mathematics, Vol. 12, No. 1, 2023, pp. 600-607.

32. J. B. Gajera and R. K. Jana, Tur\'{a}n Type Inequalities for $j$ Generalized $p-k$ Mittag-Leffler function, Int. J. Appl. Comput. Math. 9, 28 (2023). https://doi.org/10.1007/s40819-023-01513-7 

33. F. H. Patel, R. K. Jana and A. K. Shukla, Note on Modified Generalized Bessel Matrix Function, Proyecciones Journal of Mathematics, Vol. 42, No. 5, 2023, pp. 1261-1269. https://doi.org/10.22199/issn.0717-6279-5820

34. 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

35.  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

36.  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.

37. 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.

38. 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.

39. 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. 

40. 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

41.  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.

42. 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

43. 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

44. 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

45. S. B. 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

46. 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

47. 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

48.  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 

49. S. K. Gajera, R. K. Jana and A. K. Shukla, On generating relations for Jacobi matrix polynomials in two variables, Acta Univ. Sapientiae Math. 18, 41 (2026). https://doi.org/10.1007/s44426-026-00072-w 

Published - 17

1. P. Chatterjee, R. K. Jana and B. Sen, Speed and Shape of electron acoustic solitary waves in plasma, Indian J. Physics, Vol. 79, No. 5 (2005), pp. 523-527. (Springer) 

2. J P. Chauhan, R. K. Jana, A. K. Shukla, Fractional Differential Equation Model for Spread of Technological Innovations in Arbitrary Order, Ganita Sandesh, Vol. 29, No. (1 & 2), 2015, pp. 31-38. 

3. R. K. Jana, S. J. Rapeli and A. K. Shukla, Generalized Sheffer’s classification and their q-analogue, Journal of Indian Mathematical Society, Vol. 84, No. 3-4 (2017), pp. 201-210. 

4. H. S. Lekhadiya and R. K. Jana, Assimilation of INSAT-3D Satellite data in WRF model, Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. (2019). https://doi.org/10.1007/s40010-019-00606-7. 

5. R. K. Jana, B. Maheshwari and A. K. Shukla, Some results on the extended hypergeometric function, Journal of Indian Mathematical Society, Vol. 87, No. 1-2 (2020), pp. 70-82. 

6. A. Pal, R. K. Jana and A. K. Shukla, On some results associated with pRq(α, β; z) function, National Academy Science Letters, 2020,1-4, https://doi.org/10.1007/s40009- 020-00987-z. 

7. H. S. Lekhadiya and R. K. Jana, Impact of the assimilation of INSAT-3D sounder retrieved temperature and humidity profiles on extreme rainfall event forecast, Journal of the Indian Society of Remote Sensing, 2021.  https://doi.org/10.1007/s12524- 021-01369-8 

8. A. Pal, R. K. Jana and A. K. Shukla, Generalized integral transform and fractional calculus properties involving extended pRq(α, β; z) function, The Journal of the Indian Mathematical Society, Vol. 89, Nos. (1-2), 2022, pp. 100-116.

9. M. Kumar and R. K. Jana, Homotopy analysis method for forced KdV equation in unmagnetized superthermal plasmas, National Academy Science Letters, 2023. https://doi.org/10.1007/s40009-023-01231-0

10. M. Kumar, R. K. Jana, P. Chatterjee and U. N. Ghosh, Regular and singular dust ion-acoustic soliton structures in superthermal plasmas: Adomian Decomposition Approach, Indian Journal of Physics, 2023. https://doi.org/10.1007/s12648-023-02703-1

11. 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.

12. R. Mondal and R. K. Jana,  A Model for Fresh Produce with Inflation Induced Dynamic Demand under Dynamic Trade Credit Policy in Imprecise Environments, Sådhanå (2024) 49:206, pp. 1-17. https://doi.org/10.1007/s12046-024-02530-y

13. J. B. Gajera and R. K. Jana, Some inequalities for fractional integrals via $(\eta,l)$-convex function, The Mathematics Student,  Vol. 93, Nos. (3-4), 2024, pp. 147-160.

14. 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, Sådhanå (2025) 50:67, https://doi.org/10.1007/s12046-025-02673-6

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

16. 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.

17. 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