Exact Evaluation of Infinite Series Using Double Laplace Transform Technique

Double Laplace transform method was applied to evaluate the exact value of double infinite series. Further we generalize the current existing methods and provide some examples to illustrate and verify that the present method is a more general technique.

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Bibliographic Details
Main Authors: Hassan Eltayeb, Adem Kılıçman, Said Mesloub
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/327429
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author Hassan Eltayeb
Adem Kılıçman
Said Mesloub
author_facet Hassan Eltayeb
Adem Kılıçman
Said Mesloub
author_sort Hassan Eltayeb
collection DOAJ
description Double Laplace transform method was applied to evaluate the exact value of double infinite series. Further we generalize the current existing methods and provide some examples to illustrate and verify that the present method is a more general technique.
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id doaj-art-f7f930ae6baf49768806f3fd59bf127f
institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2014-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-f7f930ae6baf49768806f3fd59bf127f2025-02-03T01:31:05ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/327429327429Exact Evaluation of Infinite Series Using Double Laplace Transform TechniqueHassan Eltayeb0Adem Kılıçman1Said Mesloub2Mathematics Department, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaDepartment of Mathematics and Institute for Mathematical Research, University Putra Malaysia, 43400 Serdang, Selangor, MalaysiaMathematics Department, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaDouble Laplace transform method was applied to evaluate the exact value of double infinite series. Further we generalize the current existing methods and provide some examples to illustrate and verify that the present method is a more general technique.http://dx.doi.org/10.1155/2014/327429
spellingShingle Hassan Eltayeb
Adem Kılıçman
Said Mesloub
Exact Evaluation of Infinite Series Using Double Laplace Transform Technique
Abstract and Applied Analysis
title Exact Evaluation of Infinite Series Using Double Laplace Transform Technique
title_full Exact Evaluation of Infinite Series Using Double Laplace Transform Technique
title_fullStr Exact Evaluation of Infinite Series Using Double Laplace Transform Technique
title_full_unstemmed Exact Evaluation of Infinite Series Using Double Laplace Transform Technique
title_short Exact Evaluation of Infinite Series Using Double Laplace Transform Technique
title_sort exact evaluation of infinite series using double laplace transform technique
url http://dx.doi.org/10.1155/2014/327429
work_keys_str_mv AT hassaneltayeb exactevaluationofinfiniteseriesusingdoublelaplacetransformtechnique
AT ademkılıcman exactevaluationofinfiniteseriesusingdoublelaplacetransformtechnique
AT saidmesloub exactevaluationofinfiniteseriesusingdoublelaplacetransformtechnique