Asymptotic expansions for a class of q-integral transforms

被引：2
|
作者：
Bettaibi, Neji [1 ]
El Kamel, Jamel [2 ]
机构：
[1] IPEIM, Dept Math, Monastir 5000, Tunisia
[2] FSM, Dept Math, Monastir 5000, Tunisia
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2008年 / 198卷 / 01期
关键词：
asymptotic expansions; q-mellin transform; q-integral transforms;
D O I：
10.1016/j.amc.2007.08.052
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Using the q-Mellin transform studied in [A.Fitouhi, N. Bettaibi, K. Brahim, The Mellin transform in quantum calculus, Constructive Approximation 23 (3) ( 2006) 305 - 323], we provide an asymptotic expansion for a class of q-integral transforms having the form integral(infinity)(0) f(t)h(xt)d(q)t. In particular, we are interested with the q-Laplace, q-Fourier- cosine and q-Hankel transforms. We adopt the method of Handelsman and Lew [ R. Wong, Asymptotic Approximations of integrals, Computer Science and Scientific Computing, Academic Press, New York, 1989]. (c) 2007 Elsevier Inc. All rights reserved.
引用
收藏
页码：433 / 444
页数：12
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