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Asymptotic series and Stieltjes continued fractions for a gamma function ratio

  • Published:1978-06 Issue:2 Volume:4 Page:105-111
  • ISSN:0377-0427
  • Container-title:Journal of Computational and Applied Mathematics
  • language:en
  • Short-container-title:Journal of Computational and Applied Mathematics

Author:

Bowman K.O.,Shenton L.R.

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference12 articles.

1. Anharmonic oscillator;Bender;Physical Review,1969

2. A new algorithm for summing divergent series: Part 2, A two-component Borel summability model;Bowman;Journal of Computational and Applied Mathematics,1976

3. Inequalities for gamma and incomplete gamma functions;Gautshi;J. Math. Phys.,1959

4. On an equality for gamma functions;Gokhale;Skandinavisk Aktuarietidskrift,1962

5. An inequality satisfied by the gamma function;Gurland;Skandinavisk Aktuarietidskrift,1956

Cited by 6 articles. 订阅此论文施引文献 订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A new asymptotic expansion of a ratio of two gamma functions and complete monotonicity for its remainder;Proceedings of the American Mathematical Society;2020-01-28

2. A continued fraction approximation of the gamma function;Journal of Mathematical Analysis and Applications;2013-06

3. On continued fractions associated with polynomial type pade approximants, with an application;Analytic Theory of Continued Fractions III;1989

4. Error Bounds for Asymptotic Expansions of the Ratio of Two Gamma Functions;SIAM Journal on Mathematical Analysis;1987-05

5. Bounds for the expectation of the kth root of a random variable;Journal of Computational and Applied Mathematics;1984-04
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