Representations of super-holomorphic functions and their applications |
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| Authors: | Hongfen Yuan Valery V Karachik |
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| Institution: | 1. College of Science, Hebei University of Engineering, Handan, P.R. China.;2. Department of Mathematical and Functional Analysis, South Ural State University, Chelyabinsk, Russia. |
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| Abstract: | In this paper, we give three kinds of Almansi representations for super-polyharmonic functions. As applications of these representations, we investigate two kinds of boundary value problems in superspace and construct solutions to the super-Poisson equation and the inhomogeneous super-polyharmonic equation. |
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| Keywords: | Almansi representation Riquier’s problem Poisson equation inhomogeneous polyharmonic equation |
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