Abstract
We examine a piecewise analytic function that is defined in sectors of a disk whose real and imaginary parts obey contact conditions on adjacent boundary parts. Under the assumption of the power behavior, the sharp asymptotics of this function is established at the center of the disk.
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Original Russian Text Copyright © 2012 Zhura N.A. and Soldatov A.P.
The authors were supported by the Federal Target Program “Scientific and Educational Personnel of Innovation Russia” for 2009–2012 (State Contract 14.A18.21.0357).
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Moscow and Belgorod. Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 53, No. 5, pp. 1001–1006, September–October, 2012.
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Zhura, N.A., Soldatov, A.P. On asymptotics of a piecewise analytic function satisfying contact conditions. Sib Math J 53, 800–804 (2012). https://doi.org/10.1134/S0037446612050059
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DOI: https://doi.org/10.1134/S0037446612050059