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On a recurrence relation of k-Mittag-Leffler function

Virendra Singh Dhakar|Kishan Sharma
대한수학회 (The Korean Mathematical Society)|2013.10|대한수학회논문집 (Communications of the KMS)|제28권 제4호|pp. 851-856

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참고문헌

키워드

recurrence relationk-Mittag-Leffler functionturbulence and fluid dynamics
주제분류수학

초록

The principal aim of this paper is to investigate a recurrence relation and an integral representation of k-Mittag-Leffler function introduced earlier by Dorrego and Cerutti [2] and several special cases have also been discussed.

Abstract

The principal aim of this paper is to investigate a recurrence relation and an integral representation of k-Mittag-Leffler function introduced earlier by Dorrego and Cerutti [2] and several special cases have also been discussed.

참고문헌 (13)

  1. R. P. Agrawal, "A propos d’une Note M. Pierre Humbert", C. R. Math. Acad. Sc. Paris, 236, pp.2031~2032 (1953)
  2. G. A. Dorrego, "The k-Mittag-Leffler function", Int. J. Contemp. Math. Sciences, 7(15), pp.705~716 (2012)
  3. M. M. Dzrbasjan, "On the integral representation and uniqueness of some classes of entire functions", Mat. Sb. (N.S.), 33(3), pp.485~530 (1953)
  4. M. M. Dzrbasjan, "On the integral transformations generated by the generalized Mittag-Leffler functions", Izv. AN Arm. SSR, 13(3), pp.21~63 (1960)
  5. M. M. Dzrbasjan, "Integral Transforms and Representations of Functions in the Complex Domain" (1966), Nauka
  6. R. Gorenflo, "On the generalized Mittag-Leffler type functions", Integral Transform. Spec. Funct, 7(3), pp.215~224 (1998)
  7. I. S. Gupta, "Some properties of the Mittag-Leffler functions", Integral Transforms Spec. Funct, 18(5), pp.329~336 (2007)
  8. P. Humbert, "Sur la fonction de Mittag-Leffler et quelques-unes de ses g´en´eralisations", Bull. Sci. Math, 77, pp.180~185 (1953)
  9. G. M. Mittag-Leffler, "Sur la nuovelle function Ea(x)", C. R. Acad. Sci. Paris, 137, pp.554~558 (1903)
  10. G. M. Mittag-Leffler, "Sur la repr´esentation analytique d’une branche uniforme d’une fonction monogene", Acta Math, 29(1), pp.101~181 (1905)
  11. T. R. Prabhakar, "A singular integral equation with a generalized Mittag-Leffler functions in the Kernel", Yokohama Math. J, 19, pp.7~15 (1971)
  12. A. K. Shukla, "On a generalization of Mittag-Leffler function and its properties", J. Math. Anal. Appl, 336(2), pp.797~811 (2007)
  13. A. Wiman, "¨Uber die Nullsteliun der Fuctionen Ea(x)", Acta Math, 29, pp.217~234 (1905)

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