Multivariable Big and Little q-Jacobi Polynomials
A four-parameter family of multivariable big q-Jacobi polynomials and a three-parameter family of multivariable little q-Jacobi polynomials are introduced. For both families, full orthogonality is proved with the help of a second-order q-difference operator which is diagonalized by the multivariable...
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Veröffentlicht in: | SIAM journal on mathematical analysis 1997-03, Vol.28 (2), p.452-480 |
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Format: | Artikel |
Sprache: | eng |
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Zusammenfassung: | A four-parameter family of multivariable big q-Jacobi polynomials and a three-parameter family of multivariable little q-Jacobi polynomials are introduced. For both families, full orthogonality is proved with the help of a second-order q-difference operator which is diagonalized by the multivariable polynomials. A link is made between the orthogonality measures and R. Askey's q-extensions of Selberg's multidimensional beta-integrals. |
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ISSN: | 0036-1410 1095-7154 |
DOI: | 10.1137/S0036141095287192 |