Generalized Transforms and Special Functions
Mathematical Physics
2010-10-11 v1 math.MP
Abstract
We study the properties of different type of transforms by means of operational methods and discuss the relevant interplay with many families of special functions. We consider in particular the binomial transform and its generalizations. A general method, based on the use of the Fourier transform technique, is proposed for the study of the properties of functions of operators.
Cite
@article{arxiv.1010.1679,
title = {Generalized Transforms and Special Functions},
author = {G. Dattoli and E. Sabia},
journal= {arXiv preprint arXiv:1010.1679},
year = {2010}
}