MULTIVARIABLE BIG AND LITTLE Q-JACOBI POLYNOMIALS

Authors
STOKMAN JV
Citation
Jv. Stokman, MULTIVARIABLE BIG AND LITTLE Q-JACOBI POLYNOMIALS, SIAM journal on mathematical analysis, 28(2), 1997, pp. 452-480
Citations number
20
Categorie Soggetti
Mathematics,Mathematics
Journal title
SIAM journal on mathematical analysis → ACNP
ISSN journal
00361410
Volume
28
Issue
2
Year of publication
1997
Pages
452 - 480
Database
ISI
SICI code
0036-1410(1997)28:2<452:MBALQP>2.0.ZU;2-6
Abstract
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 t he help of a second-order q-difference operator which is diagonalized by the multivariable polynomials. A link is made between the orthogona lity measures and R. Askey's q-extensions of Seiberg's multidimensiona l beta-integrals.