Log-convexity and log-concavity of hypergeometric-like functions
type: Item
instance of: scholarly article
title: Log-convexity and log-concavity of hypergeometric-like functions
zbMATH Open document ID: 1226.33003
published in: Journal of Mathematical Analysis and Applications
publication date: 2010-02-19T00:00:00Z
full work available at URL: https://arxiv.org/abs/0902.3073
Mathematics Subject Classification ID: 33C15
Mathematics Subject Classification ID: 33C20
zbMATH DE Number: 5673224
zbMATH Keywords: hypergeometric function
zbMATH Keywords: Kummer function
zbMATH Keywords: Gauss function
zbMATH Keywords: log-convexity
zbMATH Keywords: log-concavity
zbMATH Keywords: Turán inequality
author: Dmitry B. Karp
author: S. M. Sitnik
MaRDI profile type: Publication
OpenAlex ID: W2100884664
arXiv ID: 0902.3073
cites work: Q4222737
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cites work: Bounds on Turán determinants
cites work: Q4506129
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cites work: On the extension of Turán's inequality to Jacobi polynomials
cites work: Generalized elliptic integrals
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cites work: Q5710234
cites work: Inequalities and monotonicity of ratios for generalized hypergeometric function
cites work: Q5287501
cites work: Convex functions and their applications. A contemporary approach
cites work: Positivity of Tur\'an determinants for orthogonal polynomials
cites work: On an inequality of P. Turán concerning Legendre polynomials
DOI: 10.1016/J.JMAA.2009.10.057
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description: scientific article