Certain <em>k</em>-fractional calculus operators and image formulas of <em>k</em>-Struve function

Abstract

In this article, the Saigo’s k-fractional order integral and derivative operators involving k-hypergeometric function in the kernel are applied to the k-Struve function; outcome are expressed in the term of k-Wright function, which are used to present image formulas of integral transforms including beta transform. Also special cases related to fractional calculus operators and Struve functions are considered.

Keywords

• extended bessel-maitland function
• extended beta function
• integral transform
• riemann-liouville fractional calculus operators