Sharp inequalities related to Gosper's formula

DOI10.1016/J.CRMA.2009.12.016zbMath1186.33004OpenAlexW1973198193MaRDI QIDQ2269660

Cristinel Mortici

Publication date: 17 March 2010

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2009.12.016

zbMATH Keywords

Psi functionGamma functionStirling formulaGosper's formulaApproximations of the factorial functionSharp inequalities

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)

Related Items (34)

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Cites Work

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• An ultimate extremely accurate formula for approximation of the factorial function
• New approximations of the gamma function in terms of the digamma function
• Product Approximations via Asymptotic Integration
• OPTIMIZING THE RATE OF CONVERGENCE IN SOME NEW CLASSES OF SEQUENCES CONVERGENT TO EULER'S CONSTANT
• Arithmetic and Geometric Means, an Application to Lorentz Sequence Spaces
• Decision procedure for indefinite hypergeometric summation
• A monotoneity property of the gamma function
• A Stochastic Approach to the Gamma Function
• Three classes of logarithmically completely monotonic functions involving gamma and psi functions
• Some Inequalities involving (r!)^1/r

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