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arxiv: 1611.09013 · v1 · pith:3NG7FSBKnew · submitted 2016-11-28 · 🧮 math.CA

Certain inequalities involving the k-Struve function

classification 🧮 math.CA
keywords functioninequalitiescertainmathttstruveassociatedclassicaldifferential
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We aim to introduce a $\mathtt{k}$-Struve function and investigate its various properties, including mainly certain inequalities associated this function. One of the inequalities given here is pointed out to be related to the so-called classical Tur\'an type inequality. We also present a differential equation, several recurrence relations, and integral representations for this $\mathtt{k}$-Struve function.

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