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Some summation formulae over the set of partitions

Authors: CHU, Wenchang; RAINA R. K.;

Some summation formulae over the set of partitions

Abstract

Summary: Some algebraic identities with independent variables are established by means of the calculus of formal power series. Applications to special functions and classical polynomials are also demonstrated.

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Keywords

algebraic identities, Generalized hypergeometric series, \({}_pF_q\), generating function, Partitions of sets, summation formulae, partitions, formal power series, binomial coefficient, CLASSICAL PARTITIONS, hypergeometric function, classical polynomials

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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