Continuous Sheffer families II

Continuous Sheffer families have been recently introduced by the authors. These are continuous versions of the Sheffer sequences arising in the umbral calculus. We show here that quite a number of classical special functions are examples of such families.

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Bibliographic Details
Published in:Journal of mathematical analysis and applications 2014-04, Vol.412 (1), p.381-390
Main Authors: Campos-Orozco, J.S., Galé, J.E.
Format: Article
Language:English
Subjects:
Appell family
Convolution semigroup
Gamma function
Locally convex algebra
Mellin transform
Sheffer family
Special function
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Description
Summary:Continuous Sheffer families have been recently introduced by the authors. These are continuous versions of the Sheffer sequences arising in the umbral calculus. We show here that quite a number of classical special functions are examples of such families.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2013.08.070