A multiple sum of q-series and its consequences

We shall express a multiple sum of q -series as a linear combination of terms where each term is a product involving the modified theta function. Among the applications, we shall establish new companions for well-known identities and we shall evaluate some double sums of q -series as infinite products.

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Publication Details

Journal
Journal of Mathematical Analysis and Applications
Published
2025-10-23
DOI
https://doi.org/10.1016/j.jmaa.2025.130186
Primary Topic
Advanced Mathematical Identities
Type
article
Field-Weighted Citation Impact
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article

A multiple sum of q-series and its consequences

George E. Andrews, Mohamed El Bachraoui
Journal of Mathematical Analysis and Applications
Advanced Mathematical Identities
article

A multiple sum of q-series and its consequences

George E. Andrews, Mohamed El Bachraoui
article en

Abstract

We shall express a multiple sum of q -series as a linear combination of terms where each term is a product involving the modified theta function. Among the applications, we shall establish new companions for well-known identities and we shall evaluate some double sums of q -series as infinite products.

Journal of Mathematical Analysis and ApplicationsVol. 556(1)
Pennsylvania State University (US), United Arab Emirates University (AE)
Openalex Percentile: Top 62%
Advanced Mathematical Identities
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