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)


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


Meromorphic Function Zeta Function Gamma Function Riemann Zeta Function Bernoulli Number 
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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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