Completely monotonicity of class functions involving the polygamma and related functions
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Publication:4985504
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
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)
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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
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- 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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