New identities and Parseval type relations for the generalized integral transforms L4n,P4n,Fs,2n and Fc,2n

Neşe Dernek, Eyüp Ömer Ölçüçü and Fatih Aylıkçı

Applied Mathematics and Computation, 2015, vol. 269, issue C, 536-547

Abstract: In the present paper, the authors consider several new integral transforms including the L4n-transform, the P4n-transform, the Fs,2n-transform and the Fc,2n-transform as generalizations of the classical Laplace transform, the classical Stieltjes transform, the classical Fourier sine transform and the classical Fourier cosine transform, respectively. Identities involving these transforms are given. Using this identities, a number of new Parseval–Goldstein type identities are obtained. Some examples are also given as illustrations of the results presented here.

Keywords: Laplace transforms; Widder potential transforms; L4n-transforms; P4n-transforms; E4n,1-transforms; Parseval–Goldstein type theorems (search for similar items in EconPapers)
Date: 2015
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300315010176
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:269:y:2015:i:c:p:536-547

DOI: 10.1016/j.amc.2015.07.095

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().