On Taylor coefficients of Cauchy-type integrals of finite complex measures |
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| Authors: | Rashid A Aliev |
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| Institution: | 1. Department of Mechanics and Mathematics, Baku State University, Baku, AZ 1148Azerbaijan.;2. Institute of Mathematics and Mechanics, NAS of Azerbaijan, Baku, AZ 1141Azerbaijan. |
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| Abstract: | Boundary values of Cauchy-type integrals of finite complex measures given on a unit circle, generally speaking, are not Lebesgue integrable, and therefore at expansion of Cauchy-type integrals in Taylor series, the expansion coefficients cannot be expressed by boundary values using the Lebesgue integral. In this paper, using the notion of A-integration and N-integration, we get a formula for calculating the Taylor expansion coefficients of Cauchy-type integrals of finite complex measures. |
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| Keywords: | Cauchy-type integral non-tangential boundary values Taylor expansion Taylor coefficients A-integral N-integration |
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