The generalized Hankel-Clifford transformation on M#x2032;#x03B1; and its representation

摘要

The generalized hankel-clifford transformations defined by equation with equation and equation with equation where equation being the Bessel function of the first kind and order (α − β) ≥ −1/ 2 were extended by Malgonde [8] to certain generalized functions and by Malgonde and Bandewar [7] to certain generalized functions of slow growth through a generalization of mixed Parseval's equation as equation where f ∈ H′α(I) and ϕ; ∈ Hα(I).