Abstract

In this study, we will explore six novel generalized integral formulas that incorporate the combination of $k$-Struve and Mittag-Leffler functions. We will derive these expressions in the hypergeometric function form. Additionally, we will address specific cases by employing appropriate substitutions. These results are very promising and adaptable, with wide applications in the field of applied science, engineering, and technological problem solving.

Keywords and Phrases

Mac Robert integral, Oberhettinger integral, Lavoie-Trottier integral, K-Struve function, Mittag-Leffler function.

A.M.S. subject classification

42A38, 42B10,46F12.

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