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Generating relations and multivariable Aleph-function

  • Frédéric Ayant and Dinesh Kumar ORCID logo EMAIL logo
Published/Copyright: July 5, 2018

Abstract

Srivastava and Panda have studied the simple and multiple generating relations concerning the multivariable H-function. The aim of this paper is to derive the various classes of simple and multiple generating relations involving the multivariable Aleph-function. The generating function is used in the theory of numbers, in physics and other fields of mathematics. We see the particular cases concerning the multivariable I-function, the Aleph-function of two variables and the I-function of two variables.

MSC 2010: 33C99; 33C60; 44A20

Funding statement: Dinesh Kumar would like to express his deep thanks to NBHM (National Board of Higher Mathematics), India, for granting a Post-Doctoral Fellowship (sanction no. 2/40(37)/2014/R&D-II/14131).

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Received: 2017-11-20
Accepted: 2018-06-13
Published Online: 2018-07-05
Published in Print: 2018-08-01

© 2018 Walter de Gruyter GmbH, Berlin/Boston

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