The Extended q- Image (basic analogue) of Mittag-Leffler Function and itas Simply Properties
extended q-beta function, fractional q-operator; basic analogue of the extended mittagleffler function
Abstract
In the present paper, the authors derived the basic analogue of extended Mittag-Leffler function by using the extended q-beta function and obtain some important results of Mittag-Leffler function in terms of generalized Wright function. Special cases are also discussed at the end section of paper.
Downloads
How to Cite
References
G Mittag-Leffler (1903) Une généralisation de l'intégrale de Laplace-Abel. 137, 537-539.
G Mittag-Leffler (1903) Sur la représentation analytique d'une branche uniforme d'une fonction monogène: Seconde note. 24(0), 183-204.
G Mittag-Leffler (1905) Sur la représentation analytique d'une branche uniforme d'une fonction monogène: cinquième note. 29(0), 101-181.
Wiman (1905) A: Über der Fundamentalsatz in der Theorie der Funktionen Eα(x). 29, 191-201.
R Agarwal (1953) A propos d'une note de M. Pierre Humbert. 236, 2031-2032.
P Humbert (1953) Sur la fonction de Mittag-Leffler et quelques unes de ses generalizations. 77, 180-185.
T Prabhakar (1971) A singular integral equation with a generalized Mittag-Leffler function in the kernel. 19, 7-15.
Mehmet Ali, Özarslan, Banu Yılmaz (2014) The extended Mittag-Leffler function and its properties. 85.
Waleed Al-Salam (1966) Some Fractional q-Integrals and q-Derivatives. 15(2), 135-140.
W Al-Salam (1966) q-Analogues of Cauchy's Formulas. 17(3), 616-621.
Jayprakash Yadav (2006) Certain q-Kober fractional integral operator of generalized basic hypergeometric functions and q-polynomials. 13(04), 321-326.
Published
2018-06-07
Issue
Section
License
Copyright (c) 2018 Authors and Global Journals Private Limited

This work is licensed under a Creative Commons Attribution 4.0 International License.