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Dr Dilip Kumar Website DR DILIP KUMAR WEBSITE: www.https:/sites.google.com/site/dilipcmspala/ GOKULAM HOUSE, DEPARTMENT OF MATHEMATICS, MALAKUNNAM P.O. N.S.S. COLLEGE CHANGANACHERRY - 686 535 KOCHURAMAPURAM P.O. KOTTAYAM (DIST), KERALA (STATE) CHERTHALA- 688 556, INDIA ALAPPUZHA (DIST), KERALA (STATE) PHONE: 91- 481 - 2320011, INDIA , PHONE +91-476-2813226 MOBILE: +91- 9446195433, +91-9495809011 FAX: Email: [email protected] Email: [email protected] ___________________________________________________________________________ FORMAL EDUCATION Ph.D in Mathematics (2014) from Anna University, Chennai, India. Ph.D Thesis title: Applications of pathway model and special functions in applied analysis and reaction rate theory in Astrophysics. Ph.D Supervisor: Professor Dr A.M. Mathai, Director Centre for Mathematical Sciences, Arunapuram P.O., Pala, Kerala and Emeritus Professor of Mathematics and Statistics, McGill University, Montreal, Canada. SET in Mathematics (2008) from Directorate of Higher Secondary Education, Government of Kerala, India. M.Sc in Mathematics (2001-2003), N.S.S. Hindu College, Changanacherry, Mahatma Gandhi University, Kottayam, Kerala, India. B.Ed. in Mathematics (2003-2004), University College of Teacher Education, Paippad, , Mahatma Gandhi University, Kottayam, Kerala, India. B.Sc. in Mathematics (1998-2001), N.S.S. Hindu College, Changanacherry, Mahatma Gandhi University, Kottayam, Kerala, India. Pre-Degree (1996-1998), N.S.S. Hindu College, Changanacherry, Mahatma Gandhi University, Kottayam, Kerala, India. SSLC (1998), St Berchmans High School, Changanacherry, Kerala, India, Board of Secondary Education, Kerala, India. PUBLICATIONS Papers Published in International Journals 1. Dilip Kumar (2015), Some Aspects of Extended Kinetic Equation, Axioms, 4(3), 412-422,[ISSN: 2075-1680]. 2. Deepa H. Nair and Dilip Kumar (2015), Treatise on generalized Krätzel function, Vietnam Journal of Mathematics, 43(1), 23-36 [ISSN: 2305-2228] 3. 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] 4. 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] 5. Dilip Kumar (2011), P-transforms, Integral Transforms and Special Functions, 22(8), 603-616. [Impact Factor: 0.814] 6. 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] 7. 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] 8. 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] 9. 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] 10. A. A. Kilbas and Dilip Kumar (2009), On Generalized Krätzel functions, Integral Transforms and Special functions, 20(11), 835-846. [Impact Factor: 0.814] 11. 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] 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, P- transform 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. Deepa H. Nair and Dilip Kumar (2016), Recent Developments on Pα-transform, Integral Transforms and Special Functions. 2. 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. 3. 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. 4. Kumar, D. and Haubold, H. J. (2011), Analytic representations of standard and extended non-resonant thermonuclear function with depleted tail through pathway model arXiv:1109.5610v1 [astro-ph.SR], 23 Sept 2011. 2 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. Ongoing Projects Science Popularization Project titled “Higher Secondary and Undergraduate- Interactive sessions in Mathematics” worth Rs 2,30,000 for one year from 16 December 2016, sponsored by KSCSTE, Kerala, India. Journal referee/reviewer Mathematical Reviews (American Mathematical Society) Physica A (Elsevier) Integral Transforms and Special Functions (Taylor and Francis) Journal of Computational and Applied Mathematics (Elsevier) Malaya Journal of Mathematik (University Press) The Bulletin of Mathematical Analysis and Applications (Prishtine) ACHIEVEMENTS Awards/Honors received i. Best Performing Faculty Award for the year 2014-2015 from Amal Jyothi College of Engineering, Kanjirapally, Kerala, India. ii. Young Scientist Award for the year 2012 in the Mathematical Sciences section of the Indian Science Congress Association (Selected on the basis of the publications and the presentation held at KIIT University, Bhubaneshwar, Orissa from 13 to 14 October 2011). iii. A.K. Agarwal Prize for the best publication for the year 2010-2011 for the paper titled “P-transforms” at the International Conference on Special Functions and their Applications (ICSFA-2011) & Symposium on Works of Ramanujan held at Jai Narayan Vyas University Jodhpur, Rajastan, India from July 28 to 30, 2011. iv. IMS Prize for the year 2010 for presenting the best research paper in the area of Astrophysics at the 76th Annual Conference of the Indian Mathematical Society held at SVNIT, Surat, Gujarat, India from 27th December to 30th December 2010. v. Young Scientist Award for the paper entitled “Applied Analysis and Reaction Rate Theory in Astrophysics” in the Mathematics section of the 11th International Conference of the International Academy of Physical Sciences held at Allahabad University from 20-22 February 2010. vi. Second Best Paper presentation Award for the paper entitled “Generalization of Krätzel function using pathway model” in the National Meet of Research Scholars 3 in Mathematical Sciences (NMRSMS 2008) held at IIT Kanpur from 6 to 10 December 2008 vii. Best paper presentation Award for the paper entitled “An application of generalized special functions to extend reaction rate theory in Astrophysics” in the 12th Annual Conference of Vijnana Parishad of India held at J.N.V University Jodhpur from 25- 27 October 2007. viii. First prize for Latex training held at the Centre for Mathematical Sciences from 22nd April to 23rd May 2007. List of Invited Lectures and Keynote address i. Invited Lecture on “Career in Mathematics” at SVRNSS College, Vazhoor, Kerala, India on 24 July 2017. ii. Invited Paper Presentation on “Possible modifications in the reaction cross-section of standard and extended reaction rates via a statistical density function” at the International Conference on Statistics for 21st Century, organized by Department of Statistics, Karyavattom Campus, Kerala University, Thiruvananthapuram, Kerala, India on 22 December 2016. iii. Invited Lecture on “Special Mathematical Functions in Astrophysics” at MSM College College, Kayamkulam, Kerala, India on 21 December 2016. iv. Invited Lecture on “Special Functions in Engineering” at College of Engineering, Poonjar, Kerala, India during the FDP on Applicable Mathematics in Engineering on 19 December 2016. v. Invited Lecture on “Prospects in Mathematics Research” at St. Theresas College, Ernakulam, Kerala, India on 10 August 2016. vi. Invited Lecture on “Career Prospects in Research” at Vimala College, Trissur, Kerala, India on 22 July 2016. vii. Invited Lecture on “Geometry of Special Functions”in the UGC Sponsored National Seminar on Geometry at SVRNSS College, Vazhoor, Kerala, India on 15 March 2016. viii.
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