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Convolutions of the General Index Transforms

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

Abstract

The aim of this chapter is to generalize the notion of convolution (15.1) for the Kontorovich-Lebedev transform on the index transforms with the similar structure, which have been considered in Chapter 7. In this chapter we will study transforms like the compositions of the Kontorovich-Lebedev transform (6.52) and the general Mellin convolution type transforms (2.1), following S.B. Yakubovich (1993) and S.B. Yakubovich and A.I. Moshinskii (1993). Interesting particular cases of these convolutions related to known index transforms will be established.

Keywords

Integral Representation Legendre Function Factorization Property General Convolution Exponent 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 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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