Accurate Estimates of the Gamma Function Involving the PSI Function

DOI10.1080/01630563.2010.542265zbMath1226.33001OpenAlexW2118316688MaRDI QIDQ3016305

Cristinel Mortici

Publication date: 15 July 2011

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2010.542265

zbMATH Keywords

gamma functioninequalitiesrate of convergencepsi functioncompletely monotonicity

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Inequalities for sums, series and integrals (26D15) Approximation by polynomials (41A10) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Related Items (5)

Monotonicity properties of a function involving the psi function with applications ⋮ Improvements of the bounds for Ramanujan constant function ⋮ Bounds for Bateman's \(G\)-function and its applications ⋮ Some inequalities and monotonicity properties associated with the gamma and psi functions ⋮ Sharp bounds for psi function

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