[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.c180147

CERTAIN INTEGRATION FORMULAE FOR THE GENERALIZED k-BESSEL FUNCTIONS AND DELEURE HYPER-BESSEL FUNCTION

Kim, Yongsup (Department of Mathematics Education Wonkwang University)

Publication Information

Communications of the Korean Mathematical Society / v.34, no.2, 2019 , pp. 523-532 More about this Journal

Abstract

Integrals involving a finite product of the generalized Bessel functions have recently been studied by Choi et al. [2, 3]. Motivated by these results, we establish certain unified integral formulas involving a finite product of the generalized k-Bessel functions. Also, we consider some integral formulas of the (p, q)-extended Bessel functions $J_{{\nu},p,q}(z)$ and the Delerue hyper-Bessel function which are proved in terms of (p, q)-extended generalized hypergeometric functions, and the generalized Wright hypergeometric functions, respectively.

Keywords

Gamma function; generalized hypergeometric function $_pF_q$ ; generalized (Wright) hypergeometric functions $_p{\Psi}_q$ ; generalized Lauricella series in several variables; generalized k-Bessel function of the first kind; Oberhettinger's integral formula;

Citations & Related Records

Times Cited By KSCI : 4 (Citation Analysis)

Reference
Cited By KSCI

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