[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.c170327

SOME PROPERTIES OF EXTENDED τ-HYPERGEOMETRIC FUNCTION

Jana, Ranjan Kumar (Department of Applied Mathematics & Humanities S. V. National Institute of Technology)
Maheshwari, Bhumika (Department of Applied Mathematics & Humanities S. V. National Institute of Technology)
Shukla, Ajay Kumar (Department of Applied Mathematics & Humanities S. V. National Institute of Technology)

Publication Information

Communications of the Korean Mathematical Society / v.33, no.4, 2018 , pp. 1159-1170 More about this Journal

Abstract

Recently, Parmar [5] introduced a new extension of the ${\tau}$ -Gauss hypergeometric function $_2R^{\tau}_1(z)$ . The main object of this paper is to study this extended ${\tau}$ -Gauss hypergeometric function and obtain its properties including connection with modified Bessel function of third kind and extended generalized hypergeometric function, several contiguous relations, differential relations, integral transforms and elementary integrals. Various special cases of our results are also discussed.

Keywords

hypergeometric function; Gamma and Beta functions; contiguous relations; integral transforms;

Citations & Related Records

Reference

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