Invariance groups of transformations of basic hypergeometric series

DOI10.1063/1.533115zbMath0956.33012OpenAlexW2017606788MaRDI QIDQ4498499

No author found.

Publication date: 16 August 2000

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.533115

zbMATH Keywords

invariance groupsbasic hypergeometric seriestransformation formulas

Mathematics Subject Classification ID

Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)

Related Items

Relations among complementary and supplementary pairings of Saalschützian \(_4F_3(1)\) series, Expansion formulas for terminating balanced \(_{4} F_{3}\)-series from the Biedenharn--Elliot identity for \(\mathfrak{su}(1,1)\), Symmetry groups of Bailey's transformations for \(_{10}\phi _{9}\)-series, Relations for a class of terminating ₄F₃(4) hypergeometric series, Symmetry of terminating basic hypergeometric series representations of the Askey-Wilson polynomials, Two \(q\)-operational equations and Hahn polynomials, Coxeter group actions on \({}_{4} F_{3}(1)\) hypergeometric series, Invariance groups of three term transformations for basic hypergeometric series, K. Srinivasa Rao and his work, Coxeter group actions on Saalschützian \(_4F_3(1)\) series and very-well-poised \(_7F_6(1)\) series, Special issue: Proceedings of the international conference on special functions and their applications (ICSF 2002), Chennai, India, September 23--27, 2002, Some new formulas involving \(\Gamma_q\) functions, Transformation formulas for double hypergeometric series related to 9-j coefficients and their basic analogs, Abel's method on summation by parts and hypergeometric contiguous relations, Transformation formula for a double Clausenian hypergeometric series, its \(q\)-analogue, and its invariance group, A Method for q-Calculus

Cites Work

• HYP and HYPQ
• Group theoretical basis of some identities for the generalized hypergeometric series
• Generalized basic hypergeometric functions and the q-analogues of 3-j and 6-j coefficients
• Group theoretical basis for the terminating₃F₂(1) series
• Four sets of₃F₂(1) functions, Hahn polynomials and recurrence relations for the 3-j coefficients
• On the Transformation Theory of Basic Hypergeometric Functions