Some new inequalities for the q-gamma and related functions

Mohamed El Bachraoui; József Sándor

doi:10.17777/ascm2019.29.3.293

Some new inequalities for the q-gamma and related functions

Mohamed El Bachraoui, József Sándor

Department of Mathematical Sciences

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

1 Citation (Scopus)

Abstract

We consider convexity and monotonicity properties for some functions related to the g-gamma function. As applications, we give a variety of inequalities for the ç-gamma function, the q-digamma function ψq(x), and the g-serieB. Among other consequences, we improve a result of Alzer and Grinshpan about the zeros of the function ψq(x). We use q-analogues for the Gauss multiplication formula to put in closed form members of some of our inequalities.

Original language	English
Pages (from-to)	293-309
Number of pages	17
Journal	Advanced Studies in Contemporary Mathematics (Kyungshang)
Volume	29
Issue number	3
DOIs	https://doi.org/10.17777/ascm2019.29.3.293
Publication status	Published - Jul 2019

Keywords

Convexity
Inequalities
Monotonicity
Q-digamma function
Special functions
q-gamma function

ASJC Scopus subject areas

Mathematics(all)

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10.17777/ascm2019.29.3.293

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title = "Some new inequalities for the q-gamma and related functions",

abstract = "We consider convexity and monotonicity properties for some functions related to the g-gamma function. As applications, we give a variety of inequalities for the {\c c}-gamma function, the q-digamma function ψq(x), and the g-serieB. Among other consequences, we improve a result of Alzer and Grinshpan about the zeros of the function ψq(x). We use q-analogues for the Gauss multiplication formula to put in closed form members of some of our inequalities.",

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year = "2019",

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AB - We consider convexity and monotonicity properties for some functions related to the g-gamma function. As applications, we give a variety of inequalities for the ç-gamma function, the q-digamma function ψq(x), and the g-serieB. Among other consequences, we improve a result of Alzer and Grinshpan about the zeros of the function ψq(x). We use q-analogues for the Gauss multiplication formula to put in closed form members of some of our inequalities.

KW - Convexity

KW - Inequalities

KW - Monotonicity

KW - Q-digamma function

KW - Special functions

KW - q-gamma function

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Some new inequalities for the q-gamma and related functions

Abstract

Keywords

ASJC Scopus subject areas

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