engleski

On (p, q)-extension of further members of Bessel- Struve functions class

In [10] (p, q)-extensions of the modified Bessel and the modified Struve functions of the first kind are presented. This article companion to [10] contains the (p, q)-extension of modified Struve function of the second kind M(\nu, p, q) and the Bessel-Struve kernel function S(\nu, p, q). Systematic investigation of its properties, among integral representation, Mellin transform, Laguerre polynomial representation for both introduced special functions, while additional differential-difference equation, log-convexity property and Turan-type inequalities are realized for the latter.

(p, q)-extended Beta function ; (p, q)-extended Bessel and modified Bessel and Struve functions of the first and second kind ; (p, q)-extended Bessel-Struve kernel function ; Integral representation ; Log-convexity ; Turán-type inequality

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