Hankel-type integral transforms and their fractionalization: a note

Author: Torre A.  

Publisher: Taylor & Francis Ltd

ISSN: 1065-2469

Source: Integral Transforms and Special Functions, Vol.19, Iss.4, 2008-04, pp. : 277-292

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Abstract

The fractionalization of certain types of Hankel transform is suggested. The relevance of the resulting transforms in connection with evolution problems having an underlying su(1,1) symmetry is evidenced. Barut-Girardello-type transforms are then introduced along with the relevant fractional order forms. Further generalizations are finally suggested.