Infinite families of Hecke-Rogers type series and their truncated representations

DOI10.1016/J.AAM.2021.102310zbMath1490.11101OpenAlexW4213428138MaRDI QIDQ2122759

Ernest X. W. Xia

Publication date: 7 April 2022

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aam.2021.102310

zbMATH Keywords

partitionstruncated seriesHecke-Rogers type seriesinequalities on partition functionsterminating basic hypergeometric \({}_3\phi_2\) series

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81)

Related Items (5)

Identities involving mock theta functions and theta functions ⋮ Truncated versions of three identities of Euler and Gauss ⋮ Truncated sums for Hecke-Rogers type identities and Andrews-Hickerson's Bailey pair ⋮ Hecke-Rogers type series representations for infinite products ⋮ Truncated sums for certain restricted partition functions and transformation formulas for basic hypergeometric series

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