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Asymptotic expansions of the gamma function and Wallis function through polygamma functions

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Publication:2874113
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DOI10.1080/10652469.2013.830116zbMath1286.33004OpenAlexW2070282677MaRDI QIDQ2874113

Lenka Vukšić, Tomislav Burić, Neven Elezović

Publication date: 28 January 2014

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

Full work available at URL: https://doi.org/10.1080/10652469.2013.830116


zbMATH Keywords

gamma functionasymptotic expansionBernoulli polynomialspolygamma functions


Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60)


Related Items (4)

Appell polynomials and asymptotic expansions ⋮ Asymptotic expansions and completely monotonic functions associated with the gamma, psi and polygamma functions ⋮ A new property of the Wallis power function ⋮ A new asymptotic expansion of a ratio of two gamma functions and complete monotonicity for its remainder




Cites Work

  • Bernoulli polynomials and asymptotic expansions of the quotient of gamma functions
  • New asymptotic expansions of the quotient of gamma functions




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