A q-analog of a general rational sum identity

Toufik Mansour; Mark Shattuck; Chunwei Song

doi:10.1007/s13370-011-0061-7

A q-analog of a general rational sum identity

Toufik Mansour, Mark Shattuck, Chunwei Song

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper we provide a q-analog for a type of identity involving rational sums shown by Prodinger (Appl Anal Discrete Math 2(1):65-68, 2008). Our proof is algebraic and makes use of q-partial fractions and q-inverse pairs. A bijective proof involving a sign-changing involution is given for one of the main results.

Original language	English
Pages (from-to)	297-303
Number of pages	7
Journal	Afrika Matematika
Volume	24
Issue number	3
DOIs	https://doi.org/10.1007/s13370-011-0061-7
State	Published - Sep 2013

Keywords

Combinatorial proof
Partial fractions
q-identity
q-inversion

ASJC Scopus subject areas

General Mathematics

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10.1007/s13370-011-0061-7

Cite this

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abstract = "In this paper we provide a q-analog for a type of identity involving rational sums shown by Prodinger (Appl Anal Discrete Math 2(1):65-68, 2008). Our proof is algebraic and makes use of q-partial fractions and q-inverse pairs. A bijective proof involving a sign-changing involution is given for one of the main results.",

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AB - In this paper we provide a q-analog for a type of identity involving rational sums shown by Prodinger (Appl Anal Discrete Math 2(1):65-68, 2008). Our proof is algebraic and makes use of q-partial fractions and q-inverse pairs. A bijective proof involving a sign-changing involution is given for one of the main results.

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KW - Partial fractions

KW - q-identity

KW - q-inversion

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A q-analog of a general rational sum identity

Abstract

Keywords

ASJC Scopus subject areas

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