PUBLICATIONS
Papers Published in International Journals
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.
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]
Ashik A. Kabeer, Hans J. Haubold and Dilip Kumar (2023), Analytic forms of Thermonuclear functions, Physica A, 630, 129249.[ISSN:0378-4371 ]
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].
Dilip Kumar (2016), Some Aspects of Extended Kinetic Equation, Axioms, 4(3), 412-422. [ISSN: 2075-1680].
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] .
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]
Dilip Kumar (2011), P-transforms, Integral Transforms and Special Functions, 22(8), 603-616. [Impact Factor: 0.814]
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]
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]
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]
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]
A. A. Kilbas and Dilip Kumar (2009), On Generalized Krätzel functions, Integral Transforms and Special functions, 20(11), 835-846. [Impact Factor: 0.814]
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
Dilip Kumar, Yury Luchko, G. Suresh Singh: Recent Advances in Mathematical Analysis and their Applications, University of Kerala, Thiruvananthapuram, 2022 [ISBN: 81-866660-48-8]
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 Chapter
Dilip Kumar(2023) : An overview of fractional calculus via generalized functions and integral transforms of pathway type, CRC press, India. (to appear).
Papers Published in Refereed Proceedings
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.
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.
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
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].
Dilip Kumar (2011), Extended reaction rates through pathway idea, Proceedings of the National Seminar on Modern Analysis and its Applications, 83-96.
Dilip Kumar (2007), Generalized Reaction rate probability integrals, STARS: Int. Journal (Sciences), 2(1), 89-103.
Papers Submitted for Publication
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.
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
Dilip Kumar (2013), Recent contributions from CMSS, CMSS Newsletter, 16 (2), 19- 20.
Dilip Kumar (2012), Career prospects of research in Mathematics (ways and means), CMS Newsletter, 15 (1), 6-9.
Dilip Kumar (2012), Kanakku Kootti Kayaram (in Malayalam), Malayala Manorama (Career Guru), January 17, p.p 13.
Dilip Kumar (2011), Pathway to light -Celebrating the 75th birthday of Professor A. M. Mathai, CMS Newsletter, 14 (1), 12-13.