On the calculation of certain singular integrals

A method for the approximate calculation of Cauchy-type integrals with logarithmic singularities is proposed. It is based on the expansion of a function $f(x)$ in a series in the Chebyshev polynomials.

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Bibliographic Details
Date:1993
Main Authors: Kovalenko, I. L., Litvin, A. I., Simonzhenkov, S. D., Коваленко, И. Л., Литвин, А. И., Симонженков, С. Д.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 1993
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/5917
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal