Fourier-Gauss transforms of bilinear generating functions for the continuous q-hermite polynomials

被引：3
|
作者：
Atakishiyeva, MK [1 ]
Atakishiyev, NM [1 ]
机构：
[1] Univ Nacl Autonoma Mexico, Inst Matemat, Morelos, Mexico
来源：
PHYSICS OF ATOMIC NUCLEI | 2001年 / 64卷 / 12期
关键词：
D O I：
10.1134/1.1432903
中图分类号：
O57 [原子核物理学、高能物理学];
学科分类号：
070202 ;
摘要：
The classical Fourier-Gauss transforms of bilinear generating functions for the continuous q-Hermite polynomials of Rogers are studied in detail. Our approach is essentially based on the fact that the q-Hermite functions have simple behavior with respect to the Fourier integral transform with the q-independent exponential kernel. (C) 2001 MAIK "Nauka/Interperiodica".
引用
收藏
页码：2086 / 2092
页数：7
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