Symmetry of terminating basic hypergeometric series representations of the Askey-Wilson polynomials (Q2674320): Difference between revisions

Latest revision as of 17:20, 27 May 2025

scientific article; zbMATH DE number 7590520

Language	Label	Description	Also known as
English	Symmetry of terminating basic hypergeometric series representations of the Askey-Wilson polynomials	scientific article; zbMATH DE number 7590520

Statements

instance of

scholarly article

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title

Symmetry of terminating basic hypergeometric series representations of the Askey-Wilson polynomials (English)

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author

H. S. Cohl

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Roberto S. Costas-Santos

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published in

Journal of Mathematical Analysis and Applications

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publication date

23 September 2022

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full work available at URL

https://arxiv.org/abs/2202.08911

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zbMATH Keywords

basic hypergeometric series

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basic hypergeometric orthogonal polynomials

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basic hypergeometric transformations

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MaRDI profile type

Publication

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cites work

Group theoretical basis of some identities for the generalized hypergeometric series

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Terminating basic hypergeometric representations and transformations for the Askey-Wilson polynomials

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Q4828543

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Q3892399

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Symmetry groups of \(A_{n}\) hypergeometric series

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Hypergeometric Orthogonal Polynomials and Their q-Analogues

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Symmetry groups of Bailey's transformations for \(_{10}\phi _{9}\)-series

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An integral Representation of a 10ϕ9 and Continuous Bi-Orthogonal 10ϕ9 Rational Functions

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A Taylor expansion theorem for an elliptic extension of the Askey-Wilson operator

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Theta hypergeometric integrals

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Basic hypergeometric functions as limits of elliptic hypergeometric functions

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Invariance groups of transformations of basic hypergeometric series

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Summation and transformation formulas for elliptic hypergeometric series.

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Arithmetic of linear forms involving odd zeta values

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Hypergeometric heritage of W. N. Bailey

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describes a project that uses

Digital Library of Mathematical Functions

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Identifiers

Mathematics Subject Classification ID

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10.1016/J.JMAA.2022.126583

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Sitelinks

Mathematics(1 entry)

mardi Publication:2674320

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+scientific article; zbMATH DE number 7590520
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-.1016/j.jmaa.2022.126583
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-Normal rank
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+W4292550536
@@ Property / OpenAlex ID: W4292550536 / rank @@
+Normal rank
@@ Property / cites work @@
+Group theoretical basis of some identities for the generalized hypergeometric series
+Normal rank
@@ Property / cites work @@
+Terminating basic hypergeometric representations and transformations for the Askey-Wilson polynomials
+Normal rank
@@ Property / cites work @@
+Q4828543
@@ Property / cites work: Q4828543 / rank @@
+Normal rank
@@ Property / cites work @@
+Q3892399
@@ Property / cites work: Q3892399 / rank @@
+Normal rank
@@ Property / cites work @@
+Symmetry groups of \(A_{n}\) hypergeometric series
+Normal rank
@@ Property / cites work @@
+Hypergeometric Orthogonal Polynomials and Their q-Analogues
+Normal rank
@@ Property / cites work @@
+Symmetry groups of Bailey's transformations for \(_{10}\phi _{9}\)-series
+Normal rank
@@ Property / cites work @@
+An integral Representation of a <sub>10</sub><i>ϕ</i><sub>9</sub> and Continuous Bi-Orthogonal <sub>10</sub><i>ϕ</i><sub>9</sub> Rational Functions
+Normal rank
@@ Property / cites work @@
+A Taylor expansion theorem for an elliptic extension of the Askey-Wilson operator
+Normal rank
@@ Property / cites work @@
+Theta hypergeometric integrals
@@ Property / cites work: Theta hypergeometric integrals / rank @@
+Normal rank
@@ Property / cites work @@
+Basic hypergeometric functions as limits of elliptic hypergeometric functions
+Normal rank
@@ Property / cites work @@
+Invariance groups of transformations of basic hypergeometric series
+Normal rank
@@ Property / cites work @@
+Summation and transformation formulas for elliptic hypergeometric series.
+Normal rank
@@ Property / cites work @@
+Arithmetic of linear forms involving odd zeta values
+Normal rank
@@ Property / cites work @@
+Hypergeometric heritage of W. N. Bailey
@@ Property / cites work: Hypergeometric heritage of W. N. Bailey / rank @@
+Normal rank
@@ Property / DOI @@
+.1016/J.JMAA.2022.126583
@@ Property / DOI: 10.1016/J.JMAA.2022.126583 / rank @@
+Normal rank
@@ Property / describes a project that uses @@
+Digital Library of Mathematical Functions
+Normal rank
@@ links / mardi / name / links / mardi / name @@
+Publication:2674320