A generalization of the Gauß hypergeometric series

DOI10.1016/0022-247X(77)90070-1zbMath0354.33002OpenAlexW2027017517MaRDI QIDQ1236674

L. C. Biedenharn, James D. Louck

Publication date: 1977

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

Full work available at URL: https://doi.org/10.1016/0022-247x(77)90070-1

Mathematics Subject Classification ID

Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items

Explicit orthogonalization of some biorthogonal bases for SU(n)⊇SO(n) and Sp(4)⊇U(2), On the denominator function for canonical SU(3) tensor operators. II. Explicit polynomial form, A new class of symmetric polynomials defined in terms of tableaux, Some properties of generalized hypergeometric coefficients, New relations and identities for generalized hypergeometric coefficients, A triple product identity for Schur functions, Total positivity, spherical series, and hypergeometric functions of matrix argument, Generalized Bessel functions and the representation theory of U(2) σ C2×2, Towards the canonical tensor operators of uq(3). II. The denominator function problem, On the denominator function for canonical SU(3) tensor operators, The factorial Schur function

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Lie theory and special functions
• Summability of Jacobi Series
• Applications of Basic Hypergeometric Functions
• Structural properties of the canonical U(3) Racah functions and the U(3) : U(2) projective functions
• On Hypergeometric Series Well-Poised in $SU(n)$
• On the Representations of the Semisimple Lie Groups. II
• Theory and Application of Plane Partitions: Part 1
• Lie Theory and Generalized Hypergeometric Functions
• Lie Theory and the Appell Functions $F_1 $
• Lie Theory and Meijers’s G-Function
• Lie Theory and the Lauricella Functions FD
• On the structure of the canonical tensor operators in the unitary groups. II. The tensor operators in U(3) characterized by maximal null space
• Lie Theory and Generalizations of the Hypergeometric Functions
• Generating Functions for Bessel and Related Polynomials