Jñānābha, Vol. 51 (1) (2021), (57-63)
INTEGRAL AVERAGES FOR MULTI- INDEX MITTAG-LEFFLER FUNCTIONS VIA DOUBLE DIRICHLET MEASURES AND RELATED FRACTIONAL DERIVATIVES
Meena Kumari Gurjar
Department of Mathematics and Statistics
Jai Narain Vyas University, Jodhpur-342005 (Raj.), India
(Received : October 10, 2020; Revised : October 14, 2020; Final form : April 23, 2021)
The object of the present paper is to establish the results of double Dirichlet average of multi-index Mittag-Leffler functions by using fractional derivative. Several special cases involving various known functions such as MittagLeffler functions, exponential functions, Wright hypergeometric functions and H-functions have also been obtained.
2010 Mathematics Subject Classifications: 26A33, 33E12, 33E99.
Keywords and phrases: Double Dirichlet average, multi-index Mittag-Leffler functions, fractional derivative