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Mittag-Leffler functions, l(p) n-balls and geometric pairings

Author:
Guardiola Muzquiz, Gorka  


Journal:
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS


Issue Date:
2017


Abstract(summary):

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.


Page:
195---211


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