Determinantal formulas for zonal spherical functions on hyperboloids |
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| Authors: | JF van Diejen AN Kirillov |
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| Institution: | (1) Departamento de Matemáticas, Facultad de Ciencias, Universidad de Chile, Casilla 653, Santiago 1, Chile , CL;(2) Graduate School of Mathematics, Nagoya University, Chikusa-ku, Nagoya 486-8602, Japan , JP |
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| Abstract: | Abstract. We construct determinantal expressions for the zonal spherical functions on the hyperboloids with p,q odd (and larger than 1). This gives rise to explicit evaluation formulas for hypergeometric series representing half-integer
parameter families of Jacobi functions and (via specialization) Jacobi polynomials.
Received November 18, 1999 / Published online October 30, 2000 |
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| Keywords: | Mathematics Subject Classification (2000): 43A90 33C05 33C45 33C55 81Q05 |
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