New relations and identities for generalized hypergeometric coefficients

DOI10.1016/0196-8858(92)90004-GzbMath0746.33013OpenAlexW2019433341MaRDI QIDQ1190770

A. M. Bincer, L. C. Biedenharn, M. A. Lohe, James D. Louck

Publication date: 26 September 1992

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0196-8858(92)90004-g

zbMATH Keywords

tensor operatorscompact Lie groupsgeneralized hypergeometric coefficients

Mathematics Subject Classification ID

Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Applications of Lie groups to the sciences; explicit representations (22E70) Generalized hypergeometric series, ({}_pF_q) (33C20)

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Cites Work

• Schur functions and the invariant polynomials characterizing U(n) tensor operators
• An umbral calculus for polynomials characterizing U(n) tensor operators
• A new class of symmetric polynomials defined in terms of tableaux
• Some properties of generalized hypergeometric coefficients
• Schur functions, Good's identity, and hypergeometric series well poised in SU(n)
• A q-analog of the \(_5F_4(1)\) summation theorem for hypergeometric series well-poised in \(SU(n)\)
• A new symmetry related to SU(n) for clasical basic hypergeometric series
• A new symmetry for Biedenharn's G-functions and classical hypergeometric series
• A q-analog of hypergeometric series well-poised in SU(n) and invariant G-functions
• Basic hypergeometric series very well-poised in U(n)
• Hypergeometric series well-poised in SU(n) and a generalization of Biedenharn's G-functions
• The invariant polynomials characterizing \(U(n)\) tensor operators \(<p,q,\dots ,p,0,\dots ,0>\) having maximal null space
• Certain transformations of generalised hypergeometric series
• A generalization of the Gauß hypergeometric series
• Inhomogeneous basis set of symmetric polynomials defined by tableaux.
• On the denominator function for canonical SU(3) tensor operators
• A Whipple’s Transformation for Hypergeometric Series in $U(n)$ and Multivariable Hypergeometric Orthogonal Polynomials
• On the denominator function for canonical SU(3) tensor operators. II. Explicit polynomial form
• Summation Theorems for Hypergeometric Series in $U(n)$
• Structural properties of the canonical U(3) Racah functions and the U(3) : U(2) projective functions
• On Hypergeometric Series Well-Poised in $SU(n)$
• Structural properties of the self-conjugate SU(3) tensor operators
• On the Representations of the Semisimple Lie Groups. II
• Theory and Application of Plane Partitions: Part 1
• On the structure of the canonical tensor operators in the unitary groups. II. The tensor operators in U(3) characterized by maximal null space
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