Pathway fractional integral operators involving $\mathtt{k}$-Struve function

TL;DR

This paper introduces a pathway fractional integral representation for the recently defined $ ext{K}$-Struve function, generalizing classical Struve functions and exploring their properties.

Contribution

It establishes a novel pathway fractional integral representation for the $ ext{K}$-Struve function, extending existing special functions and their integral forms.

Findings

Pathway fractional integral representation derived for $ ext{K}$-Struve function.

Special cases recover classical Struve function integral representations.

Enhanced understanding of $ ext{K}$-Struve function properties.

Abstract

A new generalization called $\mathtt{k}$-Struve function and its properties given by Nisar and saiful very recently. In this paper, we establish the pathway fractional integral representation of $\mathtt{k}$-Struve function. Many special cases also established to obtain the pathway integral representation of classical Struve function.