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Sibirskii Matematicheskii Zhurnal, 2012, Volume 53, Number 4, Pages 752–764 (Mi smj2361)  
This article is cited in 19 scientific papers (total in 19 papers)

Some properties and applications of the integrodifferential operators of Hadamard–Marchaud type in the class of harmonic functions

A. S. Berdysheva, B. Kh. Turmetovb, B. J. Kadirkulovc

a Kazakh National Pedagogical University, Almaty, Kazakhstan
b Kh. Yasavi International Kazakh-Turkish University, Turkestan, Kazakhstan
c Tashkent State Institute of Oriental Studies, Tashkent, Uzbekistan
Full-text PDF (303 kB) Citations (19)
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Abstract: In the class of harmonic functions, we study the properties of some integrodifferential operators generalizing the operators of fractional derivation in the sense of Hadamard and Hadamard–Marchaud. By way of application of the so-obtained properties, we consider some boundary value problems for the Laplace equation in the ball.
Keywords: Laplace equation, integrodifferential operator, operators of fractional derivation in the sense of Hadamard and Hadamard–Marchaud.
Received: 26.03.2011
English version:
Siberian Mathematical Journal, 2012, Volume 53, Issue 4, Pages 600–610
DOI: https://doi.org/10.1134/S0037446612040039
Bibliographic databases:
Document Type: Article
UDC: 517.956
Language: Russian
Citation: A. S. Berdyshev, B. Kh. Turmetov, B. J. Kadirkulov, “Some properties and applications of the integrodifferential operators of Hadamard–Marchaud type in the class of harmonic functions”, Sibirsk. Mat. Zh., 53:4 (2012), 752–764; Siberian Math. J., 53:4 (2012), 600–610
Citation in format AMSBIB
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\paper Some properties and applications of the integrodifferential operators of Hadamard--Marchaud type in the class of harmonic functions
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\vol 53
\issue 4
\pages 752--764
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\jour Siberian Math. J.
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\issue 4
\pages 600--610
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    • This publication is cited in the following 19 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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