Article

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

Siberian Mathematical Journaljournal2012en

ABI

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.

Topics

Differential Equations and Boundary Problems Differential Equations and Numerical Methods Algebraic and Geometric Analysis

Identifiers

DOI: 10.1134/s0037446612040039

Citations and references

Cited by 4 5 references

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