A Commuting q-Analogue of the Addition Formula for Disk Polynomials

被引：0
|
作者：
P. G. A. Floris
H. T. Koelink
机构：
[1] Afdeling Wiskunde en Informatica Rijksuniversiteit Leiden ,
[2] Vakgroep Wiskunde Universiteit van Amsterdam Plantage Muidergracht 24,undefined
来源：
Constructive Approximation | 1997年 / 13卷
关键词：
Key words and phrases: q-Disk polynomials, Little q-Jacobi polynomials, Affine q-Krawtchouk polynomials, Addition formula, Product formula. AMS Classification: 33D45, 33D80.;
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摘要：
Starting from the addition formula for q-disk polynomials, which is an identity in noncommuting variables, we establish a basic analogue in commuting variables of the addition and product formula for disk polynomials. These contain, as limiting cases, the addition and product formula for little q-Legendre polynomials. As q tends to 1 the addition and product formula for disk polynomials are recovered.
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页码：511 / 535
页数：24
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