Article

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

Abstract

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.

Topics

Algebraic and Geometric Analysis Mathematical Analysis and Transform Methods Holomorphic and Operator Theory

Identifiers

DOI: 10.3103/s1066369x21080041

Citations and references

Cited by 07 references

Metrics — AkademScholar