Some Examples of Index Transforms and Their New Properties
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.
KeywordsInversion Formula Legendre Function Poisson Kernel Whittaker Function Macdonald Function
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