Coxeter group actions on Saalschützian \(_4F_3(1)\) series and very-well-poised \(_7F_6(1)\) series

DOI10.1016/j.jmaa.2011.07.031zbMath1229.33010arXiv1008.1011OpenAlexW2963604128MaRDI QIDQ641670

Ilia D. Mishev

Publication date: 24 October 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.1011

zbMATH Keywords

Coxeter groupshypergeometric series

Mathematics Subject Classification ID

Generalized hypergeometric series, ({}_pF_q) (33C20)

Related Items (4)

Relations among complementary and supplementary pairings of Saalschützian \(_4F_3(1)\) series ⋮ Coxeter group actions and limits of hypergeometric series ⋮ Relations for a class of terminating ₄F₃(4) hypergeometric series ⋮ BC type \(z\)-measures and determinantal point processes

Cites Work

• Coxeter group actions on \({}_{4} F_{3}(1)\) hypergeometric series
• How can we escape Thomae's relations?
• Archimedean \(L\)-factors on \(\text{GL}(n)\times\text{GL}(n)\) and generalized Barnes integrals
• Mellin transforms of Whittaker functions on \(\text{GL} (4,\mathbb{R})\) and \(\text{GL} (4,\mathbb{C})\)
• Symmetry groups of Bailey's transformations for \(_{10}\phi _{9}\)-series
• Properties of generalized univariate hypergeometric functions
• Invariance groups of three term transformations for basic hypergeometric series
• Mellin transforms of GL ( n , [inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="01i" /) whittaker functions]
• Barnes' Second Lemma and its Application to Rankin-Selberg Convolutions
• Group theoretical basis of some identities for the generalized hypergeometric series
• On the definition and properties of generalized 6-j symbols
• Group theoretical basis for the terminating₃F₂(1) series
• Hypergeometric Series, a Barnes-Type Lemma, and Whittaker Functions
• Invariance groups of transformations of basic hypergeometric series
• Hypergeometric Series and Euler Factors at Infinity for L-Functions on GL(3, R )×GL(3, R )
• Transformations of Well-Poised Hypergeometric Series
• Relations Between Well-Poised Hypergeometric Series of the Type ₇ F ₆
• ON THE CONVERGENCE OF EIGENFUNCTION EXPANSIONS
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