On extended \(M\)−series

Dharmendra Kumar Singh

doi:10.26637/mjm101/007

Abstract

This paper deals with extended \(M\)-series, which is extension of the generalized \(M\)-series [12]. Mittag-Leffler function, \(\omega\)- hypergeometric function, generalized \(\omega\)-Gauss hypergeometric function, \(\omega\)-confluent hypergeometric function, Bessel-Maitland function can be deduced as special cases of our finding. Moreover, we obtain some theorem for extended \(M\)-series by using fractional calculus operators and many results associated with Riemann-Liouville, Weyl and ErdelyiKober operators. We begin our study from the following definitions.

Keywords:

Saigo- Meada operators, Pathway fractional integral operator, Extended \(M\)-series

Mathematics Subject Classification:

26A33, 44A15, 33C60, 33E12

Authors Imprint References Funding Related Articles Downloads

Dharmendra Kumar Singh University Institute of Engineering and Technology Chhatrapati Shahu Ji Maharaj University, Kanpur (U.P.) India.

Pages: 57-69
Date Published: 01-01-2013
Vol. 1 No. 01 (2013): Malaya Journal of Matematik (MJM)

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