Bounds for Turánians of sections for series of certain subclasses of the Fox-Wright functions

In this paper, we establish new Turán type inequalities for sections of some class of functions related to the generalized hypergeometric functions (Fox-Wright functions). The main mathematical tools of some of the main results are based on some new integral representations for the sections of hyper...

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Veröffentlicht in:	Journal of mathematical analysis and applications 2025-04, Vol.544 (1), p.129055, Article 129055
Hauptverfasser:	Mehrez, Khaled, Brahim, Kamel
Format:	Artikel
Sprache:	eng
Schlagworte:	Fox-Wright function Generalized hypergeometric function Mittag-Leffler functions of two parameters Turán type inequalities
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Zusammenfassung:	In this paper, we establish new Turán type inequalities for sections of some class of functions related to the generalized hypergeometric functions (Fox-Wright functions). The main mathematical tools of some of the main results are based on some new integral representations for the sections of hypergeometric functions and some monotonicity criterion of quotient of gamma function.
ISSN:	0022-247X
DOI:	10.1016/j.jmaa.2024.129055