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.

引用

页码：1096 / 1101

页数：6

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