Expansions of distributions in terms of generalized heat polynominals and their Appell transforms

R. S. Pathak and Lokenath Debnath

International Journal of Mathematics and Mathematical Sciences, 1980, vol. 3, 1-15

Abstract:

This paper is concerned with expansions of distributions in terms of the generalized heat polynomials and of their Appell transforms. Two different techniques are used to prove theorems concerning expansions of distributions. A theorem which provides an orthogonal series expansion of generalized functions is also established. It is shown that this theorem gives an inversion formula for a certain generalized integral transformation.

Date: 1980
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:806459

DOI: 10.1155/S0161171280000567

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