Jñānābha‎, Vol. 51 (1) (2021), (125-132)

RELATIONS AND IDENTITIES VIA CONTOUR INTEGRAL REPRESENTATIONS INVOLVING HURWITZ-LERCH ZETA TYPE FUNCTIONS FOR TWO VARIABLE SRIVASATAVA-DAOUST FUNCTIONS


By

Hemant Kumar¹ and R. C. Singh Chandel²

¹Department of Mathematics D. A-V. Postgraduate College, Kanpur-208001, Uttar Pradesh, India

Email:palhemant2007@rediffmail.com

²Former Head, Department of Mathematics D. V. Postgraduate College, Orai -285001, Uttar Pradesh, India

Email:rc_chandel@yahoo.com

(Received : May 12, 2021; In final form : May 17, 2021)


Abstract

In this paper, we derive certain relations of the series of two variable Srivastava-Daoust functions with some known Mittag- Leffler and hypergeometric functions of two variables. Again, by these functions we obtain certain identities with other integral representations also. Finally, on application of these contour integral formulae of respective Srivastava-Daoust functions, we determine certain identities of the integrals involving the Hurwitz-Lerch zeta type functions.


2010 Mathematics Subject Classifications: 33C60, 33C70, 33E12, 30E25.

Keywords and phrases: Contour integral representations, Mittag-Leffler functions, Srivastava-Daoust functions, hypergeometric functions and Hurwitch- Lerch zeta type functions.


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