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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2021, Number 8, Pages 37–45
DOI: https://doi.org/10.26907/0021-3446-2021-8-37-45 (Mi ivm9701) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Continuation of polyanalytic functions

T. Ishankulova, D. Sh. Fozilovb

a Samarkand State University, 15 University blv., Samarkand, 140104 Uzbekistan
b Samarkand Branch of Tashkent University of Information Technologies named after Muhammad al-Khwarizmi, 47 a Shohruh Mirzo str., Samarkand, 140100 Uzbekistan
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DOI: https://doi.org/10.26907/0021-3446-2021-8-37-45
Abstract: It is considered the problem of continuation the $n$ analytic function in to a domain by values of its sequential derivatives up to the $(n-1)$-th order on a part of the boundary. It is also considered the problem of inversion of a Cauchy type integral to a Cauchy integral for such functions.
Keywords: Cauchy-Riemann equation, $n$-analytic function, Cauchy theorem, Sokhotskiy-Plemelh formula, continuation formula.
Received: 03.08.2020
Revised: 25.11.2020
Accepted: 24.12.2020
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2021, Volume 65, Issue 8, Pages 32–39
DOI: https://doi.org/10.3103/S1066369X21080041
Document Type: Article
UDC: 517.956
Language: Russian
Citation: T. Ishankulov, D. Sh. Fozilov, “Continuation of polyanalytic functions”, Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 8, 37–45; Russian Math. (Iz. VUZ), 65:8 (2021), 32–39
Citation in format AMSBIB
\Bibitem{IshFoz21}
\by T.~Ishankulov, D.~Sh.~Fozilov
\paper Continuation of polyanalytic functions
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2021
\issue 8
\pages 37--45
\mathnet{http://mi.mathnet.ru/ivm9701}
\crossref{https://doi.org/10.26907/0021-3446-2021-8-37-45}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2021
\vol 65
\issue 8
\pages 32--39
\crossref{https://doi.org/10.3103/S1066369X21080041}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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