Recently, various extended beta functions have been presented and investigated. In this
sequel, we aim to introduce a () qp,-extended beta function by using the product of two …

The summation of series of special functions (or, accepting Turán's intervention,“useful
functions”) is a subdiscipline of Classical Analysis. Functional series built from members of …

In this paper, we focus on the extensions of the Bessel matrix function and the modified
Bessel matrix function. We first introduce the extended Bessel matrix function and the …

The goal of this article is to establish several new formulas and new results related to the
Marichev-Saigo-Maeda fractional integral and fractional derivative operators which are …

An exact transformation, which we call the master identity, is obtained for the first time for the
series∑ n= 1∞ σ a (n) e-ny for a∈ C and Re (y)> 0. New modular-type transformations …

In this paper, the generalized fractional integral operators involving Appell's function F3 (⋅)
in the kernel due to Marichev–Saigo–Maeda are applied to the (p, q)‐extended Struve …

The main purpose of this paper is to present closed integral form expressions for the
Mathieu-type a-series and for the associated alternating versions whose terms contain a …

We aim to present some formulas for Saigo hypergeometric fractional integral and
differential operators involving () qp,-extended Struve function(),,, z qp ν H which are …

A new generalization of extended beta function and its various properties, integral
representations and distribution are given in this paper. In addition, we establish the …

A new generalization of the modified Bessel function of the second kind K z (x) is studied.
Elegant series and integral representations, a differential-difference equation and …