THE ADDITION FORMULA FOR LITTLE Q-LEGENDRE POLYNOMIALS AND THE SU(2) QUANTUM GROUP

被引：39

作者：

KOORNWINDER, TH

机构：

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 1991年 / 22卷 / 01期

关键词：

QUANTUM GROUPS; SU(2); LITTLE Q-JACOBI POLYNOMIALS; LITTLE Q-LEGENDRE POLYNOMIALS; WALL POLYNOMIALS; ADDITION FORMULA; PRODUCT FORMULA;

D O I：

10.1137/0522018

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

From the interpretation of little q-Jacobi polynomials as matrix elements of the irreducible unitary representations of the SU(2) quantum group an addition formula is derived for the little q-Legendre polynomials. It involves an expansion in terms of Wall polynomials. A product formula for little q-Legendre polynomials follows by q-integration.

引用

页码：295 / 301

页数：7

共 19 条

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[2] ORTHOGONAL POLYNOMIALS WITH BRENKE TYPE GENERATING FUNCTIONS [J].