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Some properties and applications of the integrodifferential operators of hadamard-marchaud type in the class of harmonic functions |
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| Authors: | A S Berdyshev B Kh Turmetov B J Kadirkulov |
| Institution: | 1. Abai Kazakh National Pedagogical University, Almaty, Kazakhstan 2. Yasavi International Kazakh-Turkish University, Turkestan, Kazakhstan 3. Tashkent State Institute of Oriental Studies, Tashkent, Uzbekistan |
| 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. |
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