Certain inequalities involving the k-Struve function

J Inequal Appl. 2017;2017(1):71. doi: 10.1186/s13660-017-1343-x. Epub 2017 Apr 8.

Abstract

We aim to introduce a k-Struve function and investigate its various properties, including mainly certain inequalities associated with this function. One of the inequalities given here is pointed out to be related to the so-called classical Turán-type inequality. We also present a differential equation, several recurrence relations, and integral representations for this k-Struve function.

Keywords: Turán-type inequalities; k-Struve function; k-beta function; k-digamma function; k-gamma function.