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Continuation of Polyanalytic Functions

T. IshankulovSamarkand State University, 15 University blv., 140104, Samarkand, UzbekistanD. Sh. FozilovSamarkand Branch of Tashkent University of Information Technologies named after Muhammad al-Khwarizmi, 47a Shohruh Mirzo str., 140100, Samarkand, Uzbekistan
Russian Mathematicsjournal2021en
ABI

Аннотация

We investigate the problem of continuation of an n-analytic function into a domain by the values of its successive derivatives up to the $(n-1)$ th order given on a part of the boundary. For such functions, we also consider the problem of finding the conditions under which the Cauchy type integral becomes the Cauchy integral.

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