An umbral calculus for polynomials characterizing U(n) tensor operators

DOI10.1016/0001-8708(84)90003-3zbMath0534.33010OpenAlexW2010762659MaRDI QIDQ790314

L. C. Biedenharn, Robert A. Gustafson, Stephen C. Milne

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0001-8708(84)90003-3

zbMATH Keywords

Schur functionsumbral calculusU(n) tensor operators

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Enumerative combinatorics (05A99)

Related Items

Barnes-type degenerate Euler polynomials, A new class of symmetric polynomials defined in terms of tableaux, Degenerate poly-Cauchy polynomials, New relations and identities for generalized hypergeometric coefficients, Umbral calculus and Sheffer sequences of polynomials, Umbral calculus associated with Frobenius-type Eulerian polynomials, The factorial Schur function, A q-analog of the \(_5F_4(1)\) summation theorem for hypergeometric series well-poised in \(SU(n)\), An elementary proof of the Macdonald identities for \(A_{\ell}^{(1)}\), 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, \(U(n)\) Wigner coefficients, the path sum formula, and invariant G-functions, A q-analog of transposition symmetry for invariant G-functions, Barnes-type Peters polynomial with umbral calculus viewpoint

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