Monotonicity of asymptotic relations for generalized hypergeometric functions

DOI10.1016/j.jmaa.2019.123377zbMath1426.33022OpenAlexW2966190171WikidataQ127409392 ScholiaQ127409392MaRDI QIDQ2325912

Ryo Nishimura

Publication date: 4 October 2019

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2019.123377

zbMATH Keywords

inequalitygeneralized hypergeometric functionGaussian hypergeometric functionLauricella hypergeometric function

Mathematics Subject Classification ID

Generalized hypergeometric series, ({}_pF_q) (33C20) Appell, Horn and Lauricella functions (33C65)

Related Items (3)

Monotonicity and concavity properties of the Gaussian hypergeometric functions, with applications ⋮ Analytic continuation of the Horn hypergeometric series with an arbitrary number of variables ⋮ Analytic continuation of Lauricella's functions , and

Cites Work

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• Asymptotical formulas for Gaussian and generalized hypergeometric functions
• Asymptotic expansions of the Lauricella hypergeometric function \(F _{D}\)
• An approximation for zero-balanced Appell function \(F_{1}\) near (1,1)
• Lauricella's hypergeometric function \(F_ D\)
• Monotonicity Rules in Calculus
• Generalized Hypergeometric Functions at Unit Argument
• Asymptotic expansions and inequalities for hypergeometric function
• Asymptotic expansions of the Appell’s function 𝐹₁
• Inequalities for Zero-Balanced Hypergeometric Functions
• Multiple Hypergeometric Series: Appell Series and Beyond
• Analytic continuation of the Lauricella function with arbitrary number of variables
• Analytic Continuations of Higher-Order Hypergeometric Functions

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