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The gamma function and related functions

  • Wilhelm Magnus
  • Fritz Oberhettinger
  • Raj Pal Soni
Part of the Die Grundlehren der mathematischen Wissenschaften book series (GL, volume 52)

Abstract

The function Γ(z) is a meromorphic function of z with simple poles at z = −n, (n = 0, 1, 2,...) with the respective residue \(\frac{{{{( - 1)}^n}}}{{n!}}.\).

Keywords

Meromorphic Function Zeta Function Gamma Function Riemann Zeta Function Bernoulli Number 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Literature

  1. Bromwich, T. J. F’a.: An introduction to the theory of infinite series. London: Macmillan 1947.Google Scholar
  2. Erdélyi, A.: Higher transcendental functions, Vol. 1. New York: McGraw-Hill 1953.Google Scholar
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  5. Lewin, L.: Dilogaritms and associated functions. London: MacDonald 1958.Google Scholar
  6. Milne-Thompson, L. M.: The Calculus of finite differences. London: Macmillan 1951.Google Scholar
  7. Nielsen, N.: Handbuch der Theorie der Gammafunktion. Leipzig: Teubner 1906.Google Scholar
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Copyright information

© Springer-Verlag Berlin Heidelberg 1966

Authors and Affiliations

  • Wilhelm Magnus
    • 1
  • Fritz Oberhettinger
    • 2
  • Raj Pal Soni
    • 3
  1. 1.Courant Institute of Mathematical SciencesNew York UniversityUSA
  2. 2.Oregon State UniversityUSA
  3. 3.International Business Machines CorporationUSA

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