Generalized q-Modified Laguerre Functions

被引：0
|
作者：
A. S. Hegazi
M. Mansour
机构：
[1] Mansoura University,Mathematics Department, Faculty of Science
来源：
International Journal of Theoretical Physics | 2002年 / 41卷
关键词：
basic hypergeometric series; -derivative operator; -integeral; -Laguerre function; Lie algebra;
D O I：
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学科分类号：
摘要：
In this paper we define a new q-special function Anα(x, b, c; q). The new function is a generalization of the q-Laguerre function and the Stieltjes–Wigert function. We deduced all the properties of the function Anα(x, b, c; q). Finally, limq→1Anα((1 − q)x, −β, 1;q) gives Ln(α,β)(x,q), which is a β-modification of the ordinary Laguerre function.
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页码：1803 / 1813
页数：10
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