A generic inequality for basic special functions

We introduce a generic inequality of the form and show that many special functions such as gamma and polygamma functions, Riemann zeta function, beta and incomplete beta functions, Gauss and confluent hypergeometric functions, elliptic integrals and error function satisfy such type of the inequality...

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Veröffentlicht in:Integral transforms and special functions Jg. 34; H. 5; S. 384 - 398
1. Verfasser: Masjed-Jamei, Mohammad
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Abingdon Taylor & Francis 04.05.2023
Taylor & Francis Ltd
Schlagworte:
Cauchy-Schwarz inequality
Elliptic functions
Error functions
gamma and beta functions
Gauss and confluent hypergeometric functions
Hypergeometric functions
inverse trigonometric functions
Primary: 26D15
Riemann zeta function
Secondary: 33C05
Trigonometric functions
ISSN:1065-2469, 1476-8291
Online-Zugang:Volltext
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Zusammenfassung:We introduce a generic inequality of the form and show that many special functions such as gamma and polygamma functions, Riemann zeta function, beta and incomplete beta functions, Gauss and confluent hypergeometric functions, elliptic integrals and error function satisfy such type of the inequality. We also obtain new inequalities of this type for inverse trigonometric functions and .
Bibliographie:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1065-2469
1476-8291
DOI:10.1080/10652469.2022.2138379