New asymptotic expansions of the quotient of gamma functions

DOI10.1080/10652469.2011.591393zbMath1247.33003OpenAlexW2157799931MaRDI QIDQ2892831

Tomislav Burić, Neven Elezović

Publication date: 25 June 2012

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2011.591393

zbMATH Keywords

gamma functionasymptotic expansionbinomial coefficientsBernoulli polynomialsStirling formula

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Gamma, beta and polygamma functions (33B15) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60)

Related Items (11)

Asymptotic expansions of integral means and applications to the ratio of gamma functions ⋮ Estimations of psi function and harmonic numbers ⋮ Appell polynomials and asymptotic expansions ⋮ A LOGARITHMICALLY COMPLETELY MONOTONIC FUNCTION INVOLVING THE RATIO OF GAMMA FUNCTIONS ⋮ Bounds for the ratio of two gamma functions: from Wendel's asymptotic relation to Elezović-Giordano-Pečarić's theorem ⋮ Asymptotic expansions of the binomial coefficients ⋮ A new asymptotic expansion of a ratio of two gamma functions and complete monotonicity for its remainder ⋮ Asymptotic formulae associated with the Wallis power function and digamma function ⋮ Unnamed Item ⋮ Asymptotic expansions of the gamma function and Wallis function through polygamma functions ⋮ Basic asymptotic estimates for powers of Wallis’ ratios

Cites Work

• Bernoulli polynomials and asymptotic expansions of the quotient of gamma functions
• Bounds for the ratio of two gamma functions
• Two new asymptotic expansions of the ratio of two gamma functions
• The special functions and their approximations. Vol. I, II
• The best bounds in Wallis’ inequality
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