Some properties of generalized hypergeometric coefficients

DOI10.1016/0196-8858(88)90023-1zbMath0707.33003OpenAlexW2086105615MaRDI QIDQ919501

L. C. Biedenharn, James D. Louck

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0196-8858(88)90023-1

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Semisimple Lie groups and their representations (22E46) Generalized hypergeometric series, ({}_pF_q) (33C20)

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Explicit orthonormal Clebsch–Gordan coefficients of SU(3), Explicit orthogonalization of some biorthogonal bases for SU(n)⊇SO(n) and Sp(4)⊇U(2), A new class of symmetric polynomials defined in terms of tableaux, New relations and identities for generalized hypergeometric coefficients, The flagged double Schur function, Towards the canonical tensor operators of uq(3). II. The denominator function problem, The factorial Schur function

Cites Work

• Certain transformations of generalised hypergeometric series
• A generalization of the Gauß hypergeometric series
• A new rule for computing Clebsch-Gordan series
• On the denominator function for canonical SU(3) tensor operators
• On the denominator function for canonical SU(3) tensor operators. II. Explicit polynomial form
• A Proof of Some q-Analogues of Selberg’s Integral for $k=1$
• A Proof of Askey’s Conjectured q-Analogue of Selberg’s Integral and a Conjecture of Morris
• Group theoretical basis of some identities for the generalized hypergeometric series
• Some Hypergeometric Orthogonal Polynomials
• On the Representations of the Semisimple Lie Groups. II
• On the Geometry of Numbers in Elementary Number Theory
• Theory and Application of Plane Partitions: Part 1
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