PUBLICATIONS

Papers Published in International Journals

1. Dilip Kumar and Ajina Susan Ajay (2026), On Dual Pathway Generalized Kratzel Function, Fractional Calculus and Applied Analysis,  22 July 2026 https://doi.org/10.1007/s13540-026-00563-0 [ Impact Factor:  3.1]

2. Ashik A Kabeer and Dilip Kumar (2026), Treatise on a Bessel-type integral transform, Palestine Journal of Mathematics, Volume 15 (Special Issue I), 2026,  84–95 [ISSN: 2219-5688].

3. Deepa Devi V and Dilip Kumar (2026), A comprehensive treatment on functions and integrals involving confluent hypergeometric function, Palestine Journal of Mathematics ,Volume 15 (Special Issue I), 2026, Pages: 29–40[ISSN: 2219-5688]

4. Ashik A Kabeer and Dilip Kumar (2026), A unified approach to thermonuclear reaction rates, Astrophysics and Space Science, 370:69. [ISSN: 0004-640X]

5. Dilip Kumar and Arya J. (2025), On a class of pathway type general operator, Palestine Journal of Mathematics, 14(Special Issue 3), 34-50.[ISSN: 2219-5688]

6. Hussaini Joshua and Dilip Kumar(2025), Sharp Inequalities for certain subclasses of Analytic functions of Salagean-type, Palestine Journal of Mathematics, 14(Special Issue 3), 91-103.[ISSN: 2219-5688]

7. Ashik A Kabeer and Dilip Kumar (2024), Application of Buschman-Fox H-function in Nuclear Physics, Reports on Mathematical Physics, 94(2), 259-278. [ISSN: 0034-4877]

8. Hans J. Haubold, Dilip Kumar and Ashik A. Kabeer(2024), Fox’s H-function: A Gentle Introduction to Astrophysical Thermonuclear Functions,Axioms, 13, 532 DOI: 10.3390/axioms13080532

9. Dilip Kumar and M.A. Pathan (2024), On a Class of Integrals of Beta Family: Series Representations and Fractional Maps, Mediterranean Journal of Mathematics, https://doi.org/10.1007/s00009-024-02639-8.

10. Ashik A Kabeer and Dilip Kumar (2024), Generalized Kratzel function: An Analytic Study, Fractional Calculus and Applied Analysis, DOI: 10.1007/s13540-024-00243-x.[ Impact Factor:  3]

11. Ashik A Kabeer, H.J. Haubold and Dilip Kumar (2023), Analytical forms of thermonuclear functions, Physica A, 630, 129249. [ISSN:0378-4371 ]

12. Dilip Kumar and H.J. Haubold (2021), Analytical Representation of  Maxwell-Boltzmann and Tsallis Thermonuclear Functions with Depleted Tail, Axioms, 10(2), 115.[ISSN: 2075-1680].

13. Dilip Kumar (2016), Some Aspects of Extended Kinetic Equation, Axioms, 4(3),

412-422. [ISSN: 2075-1680].

14. Deepa H. Nair and Dilip Kumar (2015), Treatise on generalized Krätzel function, Vietnam Journal of Mathematics, 43(1), 23-36. [ISSN: 2305-2228]

15. Muralidharan, K, Dilip Kumar and Shanoja R. Naik (2014), A non-homogeneous Poisson process through pathway model, Journal of Indian Statistical Association, 52(2), 247-265. [ 0537-2585]

16. D. Kumar and H.J. Haubold (2014), Analytical results connecting stellar structure parameters and extended reaction rates, Journal of Astrophysics, Article ID 656784.[ISSN: 2356-718X]

17. Dilip Kumar (2013), Solution of fractional kinetic equation by a class of integral transform of pathway type, Journal of Mathematical Physics, 54 043509; doi: 10.1063/1.4800768. [ Impact Factor: 1.176]

18. Dilip Kumar (2011), P-transforms, Integral Transforms and Special Functions, 22(8), 603-616. [Impact Factor: 0.814]

19. H.J. Haubold and D. Kumar (2011), Fusion Yield: Guderley model and Tsallis statistics, Journal of Plasma Physics, 77(1), 1-14. [Impact Factor:  0.739]

20. Dilip Kumar and Anatoly A. Kilbas (2010), Fractional Calculus of P-transforms, Fractional Calculus and Applied Analysis, 13(3), 309-328.[ Impact Factor:  2.974]

21. Haubold, H.J., Kumar, D., Nair, S. S., Joseph, D. P. (2010), Special functions and pathways for problems in astrophysics: An essay in honour of A.M. Mathai, Fractional Calculus and Applied Analysis, 13 (2), 133-157. [Impact Factor:  2.974]

22. D. Kumar and H.J. Haubold (2010), On extended thermonuclear functions through pathway model, Advances in Space Research, 45, 698-708.[ Impact Factor:  1.238]

23. A. A. Kilbas and Dilip Kumar (2009), On Generalized Krätzel functions, Integral Transforms and Special functions, 20(11), 835-846. [Impact Factor:  0.814]

24. H.J. Haubold and D. Kumar (2008), Extensions of thermonuclear functions through the pathway model including Maxwell-Boltzmann and Tsallis distributions, Astroparticle Physics, 29, 70-76.[ Impact Factor:  4.45]

Book Chapters

1. Dilip Kumar (2025): Chapter 1- An Outlook on Fractional Calculus via Generalised Functions and Integral Transforms of Pathway Type, in Fundamentals of Fractional Calculus, Eds Dharmendra Kumar Singh and Mehmed Yavuz, 2026, Apple Academic Press (Taylor and Francis), New York, Pages 1-42. [ISBN 9781003638339]

2. Dilip Kumar (2026): Chapter 8 - Special functions in fractional calculus, in Recent Developments in Theory and Applications of Fractional Order Systems, Eds Mehmet Yavuz, Dharmendra Kumar Singh and Stuart Townley 2026, MK Publishers(Elsevier), Pages 117-128 [ISBN: 978-0-443-23952-6]

Books Edited 

1. Dilip Kumar, Francesco Mainardi, M.A. Pathan, Ramesh Kumar P. (2024), Recent Advances in Special Functions and their Applications, University of Kerala, Thiruvananthapuram, India [ISBN:978-93-340-9964-3]

2. Dilip Kumar, Yury Luchko, G. Suresh Singh (2022): Recent Advances in Mathematical Analysis and their Applications, University of Kerala, Thiruvananthapuram, India. [ISBN:81-86660-48-8]

3. Shanoja R Naik, Nicy Sebastian, Seema S Nair, Dhannya Joseph and Dilip Kumar: Proceedings of the DST Sponsored national workshop on fractional calculus and statistical distributions ‘09, 41, 2010, CMS Press, India.

Papers Published in Refereed Proceedings

1. Dilip Kumar (2011), Some results on type-1-P-transforms, Proceedings of the International Conference on Mathematical Sciences in Honour of Professor A. M. Mathai, pp.191-204. 

2. Dilip Kumar (2010), Some connections among generalized Krätzel function, Ptransform and their applications, Proceedings of the DST Sponsored national workshop on fractional calculus and statistical distributions ‘09, 41, 47-60. 

3. Dilip Kumar (2009), Type-2 P-transform, Proceedings of the International conference on “Analytical Methods of Analysis and Differential Equations (AMADE- 09)”, 96-104.

Papers Published in Other Journals

1. Dilip Kumar (2011), Extended reaction rates through pathway idea, Proceedings of the National Seminar on Modern Analysis and its Applications, 83-96. 

2. Dilip Kumar (2007), Generalized Reaction rate probability integrals, STARS: Int. Journal (Sciences), 2(1), 89-103.

Papers Submitted for Publication

1. Haubold, A, Haubold, H.J. and Kumar, D. (2012), Heliosheath: Diffusion entropy analysis and non-extensivity of q-triplet, arXiv:1202.3417v1 [physics.gen-ph], 7 Feb 2012. 

2. Haubold, A, Haubold, H.J. and Kumar, D. (2012), Solar neutrino records: Gauss or non-Gauss is the question, arXiv:1202.1549v1 [physics.gen-ph], 7 Feb 2012. 3 

Articles published for general public

1. Dilip Kumar (2025) From the Ground up: The making of a Moder Mathematics Centre in Kerala, Sciencita Global, October 29, 2025. https://www.scientia.global/professor-dilip-kumar-from-the-ground-up-the-making-of-a-modern-mathematics-centre-in-kerala/ 

2. Dilip Kumar (2013), Recent contributions from CMSS, CMSS Newsletter, 16 (2), 19- 20. 

3. Dilip Kumar (2012), Career prospects of research in Mathematics (ways and means), CMS Newsletter, 15 (1), 6-9. 

4. Dilip Kumar (2012), Kanakku Kootti Kayaram (in Malayalam), Malayala Manorama (Career Guru), January 17, p.p 13. 

5. Dilip Kumar (2011), Pathway to light -Celebrating the 75th birthday of Professor A. M. Mathai, CMS Newsletter, 14 (1), 12-13.