A new class of orthogonal polynomials for solving logarithmic singular integral equations

In this note, we propose a new class of orthogonal polynomials (named Bachok–Hasham polynomials H1nk(x)), which is an extension of the Chebyshev polynomials. Eigenfunctions and corresponding eigenvalues are found for the homogeneous second kind of Logarithmic Singular Integral Equations (LogSIEs). F...

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Bibliographic Details
Main Authors: H. Alhawamda, B.M. Taib, Z.K. Eshkuvatov, R.I. Ibrahim
Format: Article
Language:English
Published: Elsevier 2020-06-01
Series:Ain Shams Engineering Journal
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2090447919301340