Certain inequalities involving the k-Struve function

Kottakkaran Sooppy Nisar; Saiful Rahman Mondal; Junesang Choi

doi:10.1186/s13660-017-1343-x

Certain inequalities involving the k-Struve function

Kottakkaran Sooppy Nisar
, Saiful Rahman Mondal
, Junesang Choi

Mathematics

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

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.

Original language	English
Article number	71
Journal	Journal of Inequalities and Applications
Volume	2017
Issue number	1
DOIs	https://doi.org/10.1186/s13660-017-1343-x
State	Published - 1 Dec 2017

Keywords

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

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10.1186/s13660-017-1343-x

Cite this

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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 Tur{\'a}n-type inequality. We also present a differential equation, several recurrence relations, and integral representations for this k-Struve function.",

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AU - Choi, Junesang

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AB - 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.

KW - Turán-type inequalities

KW - k-Struve function

KW - k-beta function

KW - k-digamma function

KW - k-gamma function

UR - https://www.scopus.com/pages/publications/85017195048

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JO - Journal of Inequalities and Applications

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ER -

Certain inequalities involving the k-Struve function

Abstract

Keywords

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