Sums of partial theta functions through an extended bailey transform

Mohamed El Bachraoui

doi:10.1017/S0004972720000453

Sums of partial theta functions through an extended bailey transform

Mohamed El Bachraoui

Department of Mathematical Sciences

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

1 Citation (Scopus)

Abstract

In this note, we evaluate sums of partial theta functions. Our main tool is an application of an extended version of the Bailey transform to an identity of Gasper and Rahman on -hypergeometric series.

Original language	English
Pages (from-to)	1-10
Number of pages	10
Journal	Bulletin of the Australian Mathematical Society
Volume	103
Issue number	1
DOIs	https://doi.org/10.1017/S0004972720000453
Publication status	Published - Feb 2021

Keywords

Bailey transform
basic hypergeometric series.
partial theta functions
q-series

ASJC Scopus subject areas

Mathematics(all)

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10.1017/S0004972720000453

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title = "Sums of partial theta functions through an extended bailey transform",

abstract = "In this note, we evaluate sums of partial theta functions. Our main tool is an application of an extended version of the Bailey transform to an identity of Gasper and Rahman on -hypergeometric series. ",

keywords = "Bailey transform, basic hypergeometric series., partial theta functions, q-series",

author = "Bachraoui, {Mohamed El}",

note = "Publisher Copyright: {\textcopyright} 2020 Australian Mathematical Publishing Association Inc..",

year = "2021",

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doi = "10.1017/S0004972720000453",

language = "English",

volume = "103",

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AB - In this note, we evaluate sums of partial theta functions. Our main tool is an application of an extended version of the Bailey transform to an identity of Gasper and Rahman on -hypergeometric series.

KW - Bailey transform

KW - basic hypergeometric series.

KW - partial theta functions

KW - q-series

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Sums of partial theta functions through an extended bailey transform

Abstract

Keywords

ASJC Scopus subject areas

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