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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
Full-text PDF (358 kB) Citations (3)
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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 nn analytic function in to a domain by values of its sequential derivatives up to the (n−1)(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, nn-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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  • https://www.mathnet.ru/eng/ivm9701
  • https://www.mathnet.ru/eng/ivm/y2021/i8/p37
    • This publication is cited in the following 3 articles:
    1. Tolib Ishankulov, Maxmud Mannonov, INTERNATIONAL SCIENTIFIC AND PRACTICAL CONFERENCE ON ACTUAL PROBLEMS OF MATHEMATICAL MODELING AND INFORMATION TECHNOLOGY, 3147, INTERNATIONAL SCIENTIFIC AND PRACTICAL CONFERENCE ON ACTUAL PROBLEMS OF MATHEMATICAL MODELING AND INFORMATION TECHNOLOGY, 2024, 020010  crossref
    2. Tolib Ishankulov, Mahmud Mannonov, INTERNATIONAL SCIENTIFIC CONFERENCE ON MODERN PROBLEMS OF APPLIED SCIENCE AND ENGINEERING: MPASE2024, 3244, INTERNATIONAL SCIENTIFIC CONFERENCE ON MODERN PROBLEMS OF APPLIED SCIENCE AND ENGINEERING: MPASE2024, 2024, 020067  crossref
    3. Tolib Ishankulov, Makhmud Mannonov, “PRODOLZhENIE POLIANALITIChESKIKh FUNKTsII”, VOGUMFT, 2023, no. 1 (2), 69  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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