A NEW SYMMETRY FOR BIEDENHARN G-FUNCTIONS AND CLASSICAL HYPERGEOMETRIC-SERIES Academic Article

abstract

• We show that the general bisymmetric polynomials mG(n)q(1,..., n; 1,..., m) are a limiting case of the bisymmetric, invariant polynomials nG(n)q(1,..., n; 1,..., n) which characterize U(n) tensor operators p, q,..., q, 0, ..., 0. By taking suitable limits of a pair of difference equations for nG(n)q(; ) we then deduce "transposition symmetry" for mG(n)q(; ) from the same symmetry for nG(n)q(; ). As an application of transposition symmetry for mG(n)q(; ) we derive an elegant, new contiguous relation for classical, well-poised hypergeometric series, and also prove an identity between these series and multiple hypergeometric series well-poised in SU(n). 1985.

authors

• Gustafson, Robert

published proceedings

• ADVANCES IN MATHEMATICS

author list (cited authors)

• GUSTAFSON, R. A., & MILNE, S. C.

citation count

• 12

complete list of authors

• GUSTAFSON, RA||MILNE, SC

publication date

• January 1985

publisher

• Elsevier  Publisher

published in

• Advances in Mathematics  Journal

Digital Object Identifier (DOI)

• 10.1016/0001-8708(85)90063-5

start page

• 209

end page

• 225

volume

• 57

issue

• 3

URL

• http%3A%2F%2Fdx.doi.org%2F10.1016%2F0001-8708%2885%2990063-5