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On asymptotics of a piecewise analytic function satisfying contact conditions

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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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Article
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 are established at the center of the disk.
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18 января 2018 г. исполнилось 70 лет доктору физико-математических наук, профессору, заслуженному деятелю науки Российской Федерации Александру Павловичу Солдатову. В настоящей заметке приводятся сведения из научной биографии этого крупного ученого, который хорошо известен в России и за рубежом. Представлены сведения о его вкладе в развитие математики в области дифференциальных уравнений с частными производными и их приложений.
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