Publication:
Bachok-Hasham Polynomials for Solving a Special Class of Singular Integral Equations

Simple item page
dc.ConferencecodeUniv Teknologi MARA, Pahang Branch, PERSAMA
dc.ConferencedateAUG 27-29, 2017
dc.ConferencelocationKuantan, MALAYSIA
dc.Conferencename25th National Symposium on Mathematical Sciences (SKSM)
dc.contributor.authorEshkuvatov, Zen_US
dc.contributor.authorAlhawamda, Hen_US
dc.contributor.authorTaib, BMen_US
dc.contributor.authorIbrahim, RIen_US
dc.date.accessioned2024-05-29T02:54:20Z
dc.date.available2024-05-29T02:54:20Z
dc.date.issued2018
dc.description.abstractIn this note, we propose a new class of orthogonal polynomials (named Bachok-Hasham polynomials of the first and second kind for order k, denote it as Z((i,n))(k)(x), i = {1, 2}, which is extension of the Chebyshev polynomials of the first and second kind respectively. It is found that Bachok-Hasham polynomials of first and second kind Z((i,n))(k)(x) are orthogonal with respect to weights w ((1,k)) (x)=-x(k-1)/root 1-x(2k), w((2,k)) (x) = x(k-1) root 1-x(2k) on the interval [-1,1], where k is positive odd integers. Spectral properties Bachok--Hasham polynomials of the first and second kind Z((i,n))(k)(x), i = {1,2} are proved. These properties are used to solve a special class of singular integral equations. Finally, numerical examples and comparison results with other methods are provided to illustrate the effectiveness and accuracy of the proposed method.
dc.identifier.doi10.1063/1.5041537
dc.identifier.issn0094-243X
dc.identifier.scopusWOS:000443958400006
dc.identifier.urihttps://oarep.usim.edu.my/handle/123456789/11460
dc.identifier.volume1974
dc.languageEnglish
dc.language.isoen_US
dc.publisherAmer Inst Physicsen_US
dc.relation.ispartofProceeding Of The 25th National Symposium On Mathematical Sciences (Sksm25): Mathematical Sciences As The Core Of Intellectual Excellence
dc.sourceWeb Of Science (ISI)
dc.subjectHasham polynomialsen_US
dc.subjectweightsen_US
dc.subjectSpectral propertiesen_US
dc.subjectsingular integral equationsen_US
dc.titleBachok-Hasham Polynomials for Solving a Special Class of Singular Integral Equations
dc.typeProceedings Paperen_US
dspace.entity.typePublication

Files

Collections

Web of Science_WoS