Mittag-Leffler functions, lp n-balls and geometric pairings

被引：1

作者：

Guardiola Muzquiz, Gorka ^{[1
]}

机构：

[1] Rey Juan Carlos Univ, Dept Signal Theory Commun Telemat Syst & Computat, Madrid, Spain

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2017年 / 28卷 / 03期

关键词：

Generalized Mittag-Leffler function; groups; integral transforms; real analysis on measure chains; hypergeometric functions;

D O I：

10.1080/10652469.2016.1267730

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We deal with the relation between the Mittag-Leffler functions and the sum of the hypervolume of generalized l(p) n-balls. We derive from this result some simple properties of the Mittag-Leffler functions. We also define some new Abelian groups from the sum and the multiplication as well as the Pontryagin transform associated to them. We relate this approach to the calculus on measure chains.

引用

页码：195 / 211

页数：17

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