Convolutions of the General Index Transforms
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.
KeywordsIntegral Representation Legendre Function Factorization Property General Convolution Exponent Function
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