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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2017, Number 3, Pages 84–88 (Mi ivm9220)  
This article is cited in 3 scientific papers (total in 3 papers)

Brief communications

Avkhadiev–Becker type multivalence conditions for harmonic mappings of a disc

R. G. Nasibullin, I. K. Shafigullin

Kazan (Volga Region) Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia
Full-text PDF (170 kB) Citations (3)
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Abstract: We obtain Avkhadiev–Becker type multivalence conditions for locally univalent harmonic mappings defined in the unit disc.
Keywords: harmonic mapping, Becker univalence condition, multivalence conditions.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00351_a
15-41-02433_р_поволжье_а
Received: 22.09.2016
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2017, Volume 61, Issue 3, Pages 72–76
DOI: https://doi.org/10.3103/S1066369X17030094
Bibliographic databases:
Document Type: Article
UDC: 517.54
Language: Russian
Citation: R. G. Nasibullin, I. K. Shafigullin, “Avkhadiev–Becker type multivalence conditions for harmonic mappings of a disc”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 3, 84–88; Russian Math. (Iz. VUZ), 61:3 (2017), 72–76
Citation in format AMSBIB
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\paper Avkhadiev--Becker type multivalence conditions for harmonic mappings of a disc
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\yr 2017
\issue 3
\pages 84--88
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\jour Russian Math. (Iz. VUZ)
\yr 2017
\vol 61
\issue 3
\pages 72--76
\crossref{https://doi.org/10.3103/S1066369X17030094}
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Linking options:
  • https://www.mathnet.ru/eng/ivm9220
  • https://www.mathnet.ru/eng/ivm/y2017/i3/p84
    • This publication is cited in the following 3 articles:
    1. R. Nasibullin, “Avkhadiev-backer type p-valent conditions for biharmonic functions”, Anal. Math. Phys., 11:2 (2021), 80  crossref  mathscinet  isi  scopus
    2. R. G. Nasibullin, I. K. Shafigullin, “Avkhadiev-becker type p-valent conditions for harmonic mappings of the unit disk and its exterior”, Math. Rep., 22:1 (2020), 59–71  mathscinet  zmath  isi
    3. R. G. Nasibullin, “Avkhadiev-Becker type univalence conditions for biharmonic mappings”, Lobachevskii J. Math., 39:6 (2018), 794–802  crossref  mathscinet  zmath  isi  scopus
    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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    References:43
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