Certain inequalities involving the k-Struve function

Abstract

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

• k-Struve function
• k-gamma function
• k-beta function
• k-digamma function
• Turán-type inequalities