Analytical solutions of characteristic singular integral equations in the class of rational functions

We construct four kinds of solution of Cauchy type characteristic singular integral equations using four kinds of basis, when the known function is rational. We consider the denominator of this rational function has only simple roots. It is found that for this kinds of rational function, the solutio...

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Main Authors: Yaghobifar, Mohammad, Nik Long, Nik Mohd Asri, Eshkuratov, Zainidin K.
Format: Article
Language:English
Published: Hikari 2010
Online Access:http://psasir.upm.edu.my/id/eprint/13104/1/Analytical%20solutions%20of%20characteristic%20singular%20integral%20equations%20in%20the%20class%20of%20rational%20functions.pdf
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author Yaghobifar, Mohammad
Nik Long, Nik Mohd Asri
Eshkuratov, Zainidin K.
author_facet Yaghobifar, Mohammad
Nik Long, Nik Mohd Asri
Eshkuratov, Zainidin K.
author_sort Yaghobifar, Mohammad
collection UPM
description We construct four kinds of solution of Cauchy type characteristic singular integral equations using four kinds of basis, when the known function is rational. We consider the denominator of this rational function has only simple roots. It is found that for this kinds of rational function, the solutions are irrational.
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spelling upm.eprints-131042019-10-31T03:50:52Z http://psasir.upm.edu.my/id/eprint/13104/ Analytical solutions of characteristic singular integral equations in the class of rational functions Yaghobifar, Mohammad Nik Long, Nik Mohd Asri Eshkuratov, Zainidin K. We construct four kinds of solution of Cauchy type characteristic singular integral equations using four kinds of basis, when the known function is rational. We consider the denominator of this rational function has only simple roots. It is found that for this kinds of rational function, the solutions are irrational. Hikari 2010 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/13104/1/Analytical%20solutions%20of%20characteristic%20singular%20integral%20equations%20in%20the%20class%20of%20rational%20functions.pdf Yaghobifar, Mohammad and Nik Long, Nik Mohd Asri and Eshkuratov, Zainidin K. (2010) Analytical solutions of characteristic singular integral equations in the class of rational functions. International Journal of Contemporary Mathematical Sciences, 5 (56). pp. 2773-2779. ISSN 1312-7586 http://www.m-hikari.com/ijcms-2010/53-56-2010/index.html
spellingShingle Yaghobifar, Mohammad
Nik Long, Nik Mohd Asri
Eshkuratov, Zainidin K.
Analytical solutions of characteristic singular integral equations in the class of rational functions
title Analytical solutions of characteristic singular integral equations in the class of rational functions
title_full Analytical solutions of characteristic singular integral equations in the class of rational functions
title_fullStr Analytical solutions of characteristic singular integral equations in the class of rational functions
title_full_unstemmed Analytical solutions of characteristic singular integral equations in the class of rational functions
title_short Analytical solutions of characteristic singular integral equations in the class of rational functions
title_sort analytical solutions of characteristic singular integral equations in the class of rational functions
url http://psasir.upm.edu.my/id/eprint/13104/1/Analytical%20solutions%20of%20characteristic%20singular%20integral%20equations%20in%20the%20class%20of%20rational%20functions.pdf
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