Formulas and Theorems for the Special Functions of Mathematical Physics

This is a new and enlarged English edition of the book which, under the title "Formeln und Satze fur die Speziellen Funktionen der mathe­ matischen Physik" appeared in German in 1946. Much of the material (part of it unpublished) did not appear in the earlier editions. We hope that these a...

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Bibliographic Details
Main Authors: Magnus, Wilhelm, Oberhettinger, Fritz (Author), Soni, Raj Pal (Author)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1966, 1966
Edition:1st ed. 1966
Series:Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • I. The gamma function and related functions
  • II. The hypergeometric function
  • III. Bessel functions
  • IV. Legendre functions
  • V. Orthogonal polynomials
  • VI. Rummer’s function
  • VII. Whittaker function
  • VIII. Parabolic cylinder functions and parabolic functions
  • IX. The incomplete gamma function and special cases
  • X. Elliptic integrals, theta functions and elliptic functions
  • XI. Integral transforms
  • XII. Transformation of systems of coordinates
  • List of special symbols
  • List of functions