INEQUALITIES INVOLVING GAMMA AND PSI FUNCTIONS
From MaRDI portal
Publication:4474584
DOI10.1142/S0219530503000041zbMath1042.33002OpenAlexW2116196725MaRDI QIDQ4474584
W. Edwin Clark, Mourad E. H. Ismail
Publication date: 12 July 2004
Published in: Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0219530503000041
Gamma, beta and polygamma functions (33B15) Inequalities involving derivatives and differential and integral operators (26D10) Inequalities involving other types of functions (26D07)
Related Items
Monotonicity properties of a function involving the psi function with applications ⋮ Some classes of completely monotonic functions. II ⋮ On a conjecture of W. E. Clark and M. E. H. Ismail ⋮ A note on the volume of sections of \(B_{p}^{n}\) ⋮ On some properties of digamma and polygamma functions ⋮ Necessary and sufficient conditions for a class of functions and their reciprocals to be logarithmically completely monotonic ⋮ A Solution to Qi's Eighth Open Problem on Complete Monotonicity ⋮ A class of logarithmically completely monotonic functions associated with a gamma function ⋮ On the positivity of a certain function related with the digamma function ⋮ Logarithmically complete monotonicity properties relating to the gamma function ⋮ Analytic computation of digamma function using some new identities ⋮ Sharp bounds for psi function ⋮ Toward verification of the Riemann hypothesis: application of the Li criterion ⋮ On a conjecture of Clark and Ismail ⋮ COMPLETELY MONOTONIC FUNCTIONS RELATED TO LOGARITHMIC DERIVATIVES OF ENTIRE FUNCTIONS ⋮ Completely monotonicity of class functions involving the polygamma and related functions
Uses Software
Cites Work
