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Asymptotic expansions of the binomial coefficients

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Publication:741387
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DOI10.1007/s12190-013-0742-5zbMath1296.41026OpenAlexW1990097175MaRDI QIDQ741387

Neven Elezović, Tomislav Burić

Publication date: 12 September 2014

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-013-0742-5


zbMATH Keywords

gamma functionasymptotic expansionbinomial coefficients


Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Gamma, beta and polygamma functions (33B15) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60)


Related Items (3)

Asymptotics for generating functions of the Fuss-Catalan numbers ⋮ Asymptotic expansions of Gurland's ratio and sharp bounds for their remainders ⋮ The independent set sequence of some families of trees




Cites Work

  • Bernoulli polynomials and asymptotic expansions of the quotient of gamma functions
  • Inequalities for binomial coefficients
  • The special functions and their approximations. Vol. I, II
  • New asymptotic expansions of the quotient of gamma functions
  • Asymptotic expansions of the multiple quotients of gamma functions with applications
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