Infinite family of approximations of the digamma function

DOI10.1016/J.MCM.2005.02.010zbMath1132.33001OpenAlexW2045717535MaRDI QIDQ2473206

Mohammed Yahdi, Isa Muqattash

Publication date: 26 February 2008

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2005.02.010

zbMATH Keywords

Psi functionGamma function

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Approximation by other special function classes (41A30)

Related Items (6)

The proof of Muqattash-Yahdi conjecture ⋮ Estimating gamma function by digamma function ⋮ Estimating the digamma and trigamma functions by completely monotonicity arguments ⋮ A New Formulation of Generalized Gamma: Some Results and Applications ⋮ Statistical estimation of conditional Shannon entropy ⋮ A note on complete monotonicity of the remainder in Stirling's formula

Cites Work

• A monotoneity property of the gamma function
• On some inequalities for the gamma and psi functions
• Euler's Constant to 1271 Places

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