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Some Examples of Index Transforms and Their New Properties

  • Semen B. Yakubovich
  • Yurii F. Luchko
Part of the Mathematics and Its Applications book series (MAIA, volume 287)

Abstract

In this chapter, we will establish new properties of both known and new index transforms by means of their composition structure and connections with the class of Watson transforms from Chapter 2. General constructions has been given in Chapter 8. Firstly, we obtain the analogue of Theorem 6.9 for the Kontorovich-Lebedev like transforms.

Keywords

Inversion Formula Legendre Function Poisson Kernel Whittaker Function Macdonald Function 
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Copyright information

© Springer Science+Business Media Dordrecht 1994

Authors and Affiliations

  • Semen B. Yakubovich
    • 1
  • Yurii F. Luchko
    • 1
  1. 1.Department of Mathematics and MechanicsBeylorussian State UniversityMinsk, ByelorussiaRussia

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