Some transformation formulas of q-Hypergeometric series via contour integration

Kam Cheong Au

doi:10.1090/proc/15308

Some transformation formulas of q-Hypergeometric series via contour integration

Kam Cheong Au

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

Abstract

We give new methods to obtain certain transformation formulas of q-hypergeometric series. Our approach uses residue calculus. We apply this method to two categories: hyperbolic and elliptic. We also apply a similar technique to evaluate explicitly a large class of q-integrals, some of which are related to the work of Gasper (2004) and Ismail and Masson (1994).

Original language	English
Pages (from-to)	4159-4170
Number of pages	12
Journal	Proceedings of the American Mathematical Society
Volume	149
Issue number	10
DOIs	https://doi.org/10.1090/proc/15308
Publication status	Published - 2021
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2021 American Mathematical Society. All rights reserved.

Keywords

Basic hypergeometric
Confluent basic hypergeometric
Moment problems
Residual calculus

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10.1090/proc/15308

Cite this

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AB - We give new methods to obtain certain transformation formulas of q-hypergeometric series. Our approach uses residue calculus. We apply this method to two categories: hyperbolic and elliptic. We also apply a similar technique to evaluate explicitly a large class of q-integrals, some of which are related to the work of Gasper (2004) and Ismail and Masson (1994).

KW - Basic hypergeometric

KW - Confluent basic hypergeometric

KW - Moment problems

KW - Residual calculus

UR - https://www.webofscience.com/wos/woscc/full-record/WOS:000692067700010

UR - https://openalex.org/W3080607789

UR - https://www.scopus.com/pages/publications/85114160157

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DO - 10.1090/proc/15308

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EP - 4170

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 10

ER -

Some transformation formulas of q-Hypergeometric series via contour integration

Abstract

Bibliographical note

Keywords

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