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Generalizations of generating functions ...

Cohl, Howard S....

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Generalizations of generating functions for basic hypergeometric orthogonal polynomials by Cohl, Howard S. ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	06-09-2023
Summary	We derive generalized generating functions for basic hypergeometric orthogonal polynomials by applying connection relations with one free parameter to them. In particular, we generalize generating functions for the Askey-Wilson, continuous $q$-ultraspherical/Rogers, little $q$-Laguerre/Wall, and $q$-Laguerre polynomials. Depending on what type of orthogonality these polynomials satisfy, we derive corresponding definite integrals, infinite series, bilateral infinite series, and $q$-integrals.
ISBN	-
Item Type	Article
File Type	pdf
File Size	29.34 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1411.1371

Citation

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AMA 11th EditionReferences

Cohl, Howard S.. Generalizations of generating functions for basic hypergeometric orthogonal polynomials. Australian National University. September 06, 2023. Accessed November 06, 2024. https://online.provdatabase.com/cite/23807

APA 7th EditionReferences

Cohl, Howard S.. (2023). Generalizations of generating functions for basic hypergeometric orthogonal polynomials. Australian National University. https://online.provdatabase.com/cite/23807

Chicago 17th EditionReferences

Cohl, Howard S.. Generalizations of generating functions for basic hypergeometric orthogonal polynomials. Australian National University. 2023. https://online.provdatabase.com/cite/23807

HarvardReferences

Cohl, Howard S.. (2023). Generalizations of generating functions for basic hypergeometric orthogonal polynomials. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/23807. (Accessed 06 November 2024).

Harvard AustraliaReferences

Cohl, Howard S., 2023, Generalizations of generating functions for basic hypergeometric orthogonal polynomials, Australian National University, viewed 06 November 2024, <https://online.provdatabase.com/cite/23807>

MLA 9th EditionWorks Cited

Cohl, Howard S.. Generalizations of generating functions for basic hypergeometric orthogonal polynomials. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/23807.

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