Completely monotonicity of class functions involving the polygamma and related functions

DOI10.1142/S1793557121500649zbMath1466.33002OpenAlexW3042690177MaRDI QIDQ4985504

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Publication date: 23 April 2021

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557121500649

zbMATH Keywords

gamma functioninequalitieszeta functionopen problemspolygamma function

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Monotonic functions, generalizations (26A48) Trigonometric polynomials, inequalities, extremal problems (42A05)

Related Items (1)

A Solution to Qi's Eighth Open Problem on Complete Monotonicity

Uses Software

• DLMF

Cites Work

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• On complete monotonicity for several classes of functions related to ratios of gamma functions
• Exponential, gamma and polygamma functions: simple proofs of classical and new inequalities
• A harmonic mean inequality for the digamma function and related results
• Supplements to a class of logarithmically completely monotonic functions associated with the gamma function
• A short proof of the formula of Faà di Bruno
• Some uniqueness results for the non-trivially complete monotonicity of a class of functions involving the polygamma and related functions
• A class of logarithmically completely monotonic functions related to the gamma function with applications
• The Curious History of Faa di Bruno's Formula
• INEQUALITIES INVOLVING GAMMA AND PSI FUNCTIONS
• On some inequalities for the gamma and psi functions

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