A refinement of Ramanujan's factorial approximation

DOI10.1007/s11139-013-9494-yzbMath1298.41011arXiv1212.1428OpenAlexW2066838922MaRDI QIDQ457026

Mark B. Villarino, Michael D. Hirschhorn

Publication date: 26 September 2014

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.1428

zbMATH Keywords

RamanujanStirling's formula

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Spline approximation (41A15)

Related Items (13)

A more accurate approximation for the gamma function ⋮ A sharp version of Ramanujan's inequality for the factorial function ⋮ Inequalities and asymptotic expansions associated with the Ramanujan and nemes formulas for the gamma function ⋮ Quotient polynomials with positive coefficients ⋮ Telescoping continued fractions for the error term in Stirling's formula ⋮ Sharp inequalities and asymptotic expansions for the gamma function ⋮ Monotonicity properties, inequalities and asymptotic expansions associated with the gamma function ⋮ Two asymptotic expansions for gamma function developed by Windschitl's formula ⋮ On the asymptotic expansions of the gamma function related to the Nemes, Gosper and Burnside formulas ⋮ Padé approximant related to Ramanujan's formula for the gamma function ⋮ Padé approximant related to asymptotics for the gamma function ⋮ Unified approaches to the approximations of the gamma function ⋮ Asymptotic expansions for the gamma function in terms of hyperbolic functions

Cites Work

• ON RAMANUJAN'S DOUBLE INEQUALITY FOR THE GAMMA FUNCTION

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