Recurrence relations of multiparameter K-Mittag-Leffler function
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DOI:
https://doi.org/10.26637/mjm202/009Abstract
In this paper we evaluate the functional relation between Multiparameter K-Mittag-Leffler function defined by [2] and K-Series defined by [3]. Also we evaluate the recurrence relations and integral representation of Multiparameter K-Mittag-Leffler function. Some particular cases have been discussed.
Keywords:
Multiparameter K-Mittag-Leffler function, K-Series, K-Pochhammer symbol, K- Gamma functionMathematics Subject Classification:
26A33, 33B15, 33E12- Pages: 165-171
- Date Published: 01-04-2014
- Vol. 2 No. 02 (2014): Malaya Journal of Matematik (MJM)
Dorrego, G.A. and Cerutti, R.A. The K-Mittag-Leffler function, Int. J. Contemp. Math. Sciences, 7(15)(2012), 705-716.
Gehlot, Kuldeep Singh, Multiparameter K-Mittag-Leffler function, International Mathematical Forum, 8(34)(2013), 1691 - 1702. DOI: https://doi.org/10.12988/imf.2013.39176
Gehlot, Kuldeep Singh and Chena Ram, Integral Representation of K-Series, International Transactions in Mathematical Sciences and Computers, 4(2)(2012), 387-396.
Konovska, Paneva Jordanka, Three-Multi-Index Mittag-Leffler functions, Series and Convergence Theorem, Proceeding of FDA’2012 symposium, Nanjing, China, Paper No. 284, FDA 2012.
Luchko, Yu. F. and Yakubovich, S.B., An operational method for solving some class of integrodifferential equations(Russian), Differ. Uravn., 30, 269-280; translation in Differential Equation, 30, 247-256.
Mittag-Leffler, G. Sur la nouvellefonction E α (z), C.RAcad. Sci. Paris, 137(1903), 554-558.
Prabhakar, T.R., A singular integral equation with a generalized Mittag-Leffler function in the kernal, Yokohama Math. J., 19(1971), 7-15.
Rafael Diaz and Eddy Pariguan. On hypergeometric functions and Pochhammer k-symbol, Divulgaciones Mathematics, 15(2)(2007), 179-192.
Sharma, M., Jain, Renu, A note on generalized M-Series as a special function of fractional calculus, Fractional Calculus and Applied Analysis, 12(4)(2009), 449-452.
Virginia S. Kiryakova, Multiple (multiondex) Mittag-Leffler functions and relations to generalized fractional calculus, Journal of Computational and Applied Mathematics, 118(2000), 241-259. DOI: https://doi.org/10.1016/S0377-0427(00)00292-2
Wiman. A., Uber den fundamental Satz in der Theories der Funktionen E α (z), Acta Math., 29(1905), 191-201. DOI: https://doi.org/10.1007/BF02403202
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