PUBLICATIONS

Papers Published in International Journals

1.  Ashik A Kabeer and Dilip Kumar (2025), A unified approach to thermonuclear reaction rates, Astrophysics and Space Science, 370:69. [ISSN: 0004-640X]

2. 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]

3. 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

4. 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. MR4731257 

5. 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]

6. Ashik A. Kabeer, Hans J. Haubold and Dilip Kumar (2023), Analytic forms of Thermonuclear functions, Physica A, 630, 129249.[ISSN:0378-4371 ]

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

8. Dilip Kumar (2016), Some Aspects of Extended Kinetic Equation, Axioms, 4(3), 412-422. [ISSN: 2075-1680].

9. 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] .

10. 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] 

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

12. 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] 

13. 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] 

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

15. 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] 

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

17. 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] 

Books Edited

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

2. Dilip Kumar, Yury Luchko, G. Suresh Singh: Recent Advances in Mathematical Analysis and their Applications, University of Kerala, Thiruvananthapuram, 2022[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.

Book Chapters

1. Dilip Kumar(2026) : An overview of fractional calculus via generalized functions and integral transforms of pathway type, CRC press, India. (to appear).

2. Dilip Kumar (2025): Chapter 8 - Special functions in fractional calculus, Recent Developments in Theory and Applications of Fractional Order Systems, 2026, 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, 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, 2022[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. 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]. 

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

3. 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 (2013), Recent contributions from CMSS, CMSS Newsletter, 16 (2), 19- 20. 

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

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

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