Reduced Harmonic Representation of Partitions

Reduced Harmonic Representation of Partitions

In the present article the reduced integral representation of partitions in terms of harmonic products has been derived first by using hypergeometry and the new concept of fractional sum and secondly by studying the Fourier series of the kernel function appearing in the integral representation. Usin...

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Veröffentlicht in:arXiv.org 2011-03
1. Verfasser: Psimopoulos, Michalis
Format: Artikel
Sprache:eng
Schlagworte:
Fourier series
Integrals
Kernel functions
Partitions
Representations
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Zusammenfassung:In the present article the reduced integral representation of partitions in terms of harmonic products has been derived first by using hypergeometry and the new concept of fractional sum and secondly by studying the Fourier series of the kernel function appearing in the integral representation. Using the method of induction, a generalization of the theory has also been obtained.
ISSN:2331-8422