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Incomplete Cylindrical Functions of Bessel Form

  • Matest M. Agrest
  • Michail S. Maksimov
Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 160)

Abstract

In the preceeding chapter we considered a class of functions expressed in the form of a Poisson integral with an arbitrary integration contour. In addition, the cylindrical functions may be also represented as Bessel Schlaefli-Sonine integrals with fully determined integration contours. In the present chapter we shall consider another class of functions, defined by similar integrals, but with arbitrary contours of integration. Here, as before, these will be so constructed that for appropriately chosen contours they tend continuously to the well known cylindrical functions. In this connection we shall call them incomplete cylindrical functions of Bessel form and denote them by ε v (ω, z).

Keywords

Asymptotic Expansion Bessel Function Recursion Relation Integration Contour Hankel Function 
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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Copyright information

© Springer-Verlag Berlin · Heidelberg 1971

Authors and Affiliations

  • Matest M. Agrest
    • 1
  • Michail S. Maksimov
    • 1
  1. 1.SuchumiUSSR

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