Identities for the Widder transform and transforms with Bessel function kernels

被引：0
|
作者：
Ucar, Faruk [1 ]
Yuerekli, Osman [2 ]
机构：
[1] Univ Marmara, Dept Math, TR-34722 Istanbul, Turkey
[2] Ithaca Coll, Dept Math, Ithaca, NY 14850 USA
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 218卷 / 03期
关键词：
Laplace transforms; Widder potential transforms; H(v)-transforms; K(v)-transforms; Y(v)-transforms; Parseval-Goldstein type theorems;
D O I：
10.1016/j.amc.2011.03.133
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the present paper, we consider the classical Widder transform, the H(v)-transform, the K(v)-transform, and the Y(v)-transform. Some identities involving these transforms and many others are given. By making use of these identities, a number of new Parseval-Goldstein type identities are obtained for these and other well-known integral transforms. (C) 2011 Elsevier Inc. All rights reserved.
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页码：1096 / 1101
页数：6
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