Continuous Sheffer families II

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:412

Article

Campos-Orozco, J. S.¹  Gale, J. E.^2,3 

[1] Univ Autonoma Metropolitana Iztapalapa, Dept Matemat, Mexico City 09340, DF, Mexico

[2] Univ Zaragoza, Dept Matemat, E-50009 Zaragoza, Spain

[3] Univ Zaragoza, IUMA, E-50009 Zaragoza, Spain

关键词: Convolution semigroup;    Locally convex algebra;    Special function;    Mellin transform;    Gamma function;    Sheffer family;    Appell family;   

DOI  :  10.1016/j.jmaa.2013.08.070

来源: Elsevier

【 摘 要 】

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. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free