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Some properties and applications of the integrodifferential operators of hadamard-marchaud type in the class of harmonic functions

Abdumauvlen BerdyshevAbai Kazakh National Pedagogical University, Almaty, KazakhstanBatirkhan TurmetovYasavi International Kazakh-Turkish University, Turkestan, KazakhstanB. J. KadirkulovTashkent State Institute of Oriental Studies, Tashkent, Uzbekistan
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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.

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