2019
Том 71
№ 11

# On the calculation of certain singular integrals

Abstract

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.

English version (Springer): Ukrainian Mathematical Journal 45 (1993), no. 8, pp 1312-1315.

Citation Example: Kovalenko I. L., Litvin A. I., Simonzhenkov S. D. On the calculation of certain singular integrals // Ukr. Mat. Zh. - 1993. - 45, № 8. - pp. 1174–1176.

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