An integral representation and a Rodrigues-type difference formula for the continuous q-Hermite polynomials

被引：0
|
作者：
Atakishiyev, NM [1 ]
Atakishiyeva, MK [1 ]
机构：
[1] Univ Nacl Autonoma Mexico, Inst Matemat, Mexico City, DF, Mexico
来源：
PHOTONIC AND QUANTUM TECHNOLOGIES FOR AEROSPACE APPLICATIONS III | 2001年 / 4386卷
关键词：
classical special functions; the continuous q-Hermite polynomials of Rogers; integral representation; Rodrigues-type difference formula;
D O I：
10.1117/12.434212
中图分类号：
V [航空、航天];
学科分类号：
08 ; 0825 ;
摘要：
We derive a simple integral representation and the corresponding Rodrigues-type difference formula for the continuous q-Hermite polynomials of Rogers. As a consequence, this also yields the appropriate formulae for the Rogers-Szego and Stieltjes-Wigert polynomials.
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页码：145 / 151
页数：7
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