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Some remarks on generalized mittag-leffler function

  • Shukla, Ajay K. [1] ; Prajapati, Jyotindra C. [2]
    1. [1] National Institute Of Technology

      National Institute Of Technology

      Japón

    2. [2] Charotar Institute of Technology.
  • Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 28, Nº. 1, 2009, págs. 27-34
  • Idioma: inglés
  • DOI: 10.4067/S0716-09172009000100003
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  • Resumen
    •  The principal aim of the paper is to establish the function  and its properties by using Fractional Calculus. We also obtained some integral representations of the function  which is recently introduced by Shukla and Prajapati[6]. 

  • Referencias bibliográficas
    • Citas [1] A. A. Kilbas, M. Saigo and R. K. Saxena, Generalized Mittag-Leffler function and generalized fractional calculus operators, Integral...
    • [2] K. S. Miller and B. Ross, An introduction to fractional calculus and fractional differential equations. Wiley- New York, (1993).
    • [3] G. M. Mittag-Leffler, Sur la nouvelle fonction Eα(x), C. R. Acad. Sci. Paris 137, pp. 554—558, (1903).
    • [4] T. R. Prabhakar, On a set of polynomials suggested by Laguerre polynomials, Pacific J. Math., 35 (1), pp. 213-219, (1970).
    • [5] E. D. Rainville, Special Functions, Macmillan- New York, (1960).
    • [6] A. K. Shukla and J. C. Prajapati, On a generalization of Mittag-Leffler function and its properties. J. Math. Anal. Appl. 336, pp. 797—811,...
    • [7] , On a Generalized Mittag-Leffler type function and generated integral operator, Article in press, Math. Sci. Res. J.
    • [8] , Decomposition and properties of Generalized Mittag-Leffler Function, Communicated for Publication.
    • [9] A. Wiman, Uber den fundamental Satz in der Theorie der Funktionen ¨ Eα (x), Acta Math. 29, pp. 191—201, (1905).

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