Integral Representations of Special Functions

  • James B. Seaborn
Part of the Texts in Applied Mathematics book series (TAM, volume 8)


It is often convenient to identify the various special functions with contour integrals along certain paths in the complex plane. These integrals provide recursion formulas, asymptotic forms, and analytic continuations of the special functions. Also, they are sometimes used as definitions of special functions.1


Asymptotic Expansion Special Function Bessel Function Integral Representation Asymptotic Formula 
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Copyright information

© Springer Science+Business Media New York 1991

Authors and Affiliations

  • James B. Seaborn
    • 1
  1. 1.Department of PhysicsUniversity of RichmondUSA

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