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Author: Çelebi,A.O.Subject: Dirichlet problem

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    Conference Object
    Citation - Scopus: 17
    Dirichlet Problems for the Generalized N-Poisson Equation
    (Springer International Publishing, 2010) Aksoy,Ü.; Çelebi,A.O.
    Polyharmonic hybrid Green functions, obtained by convoluting polyharmonic Green and Almansi Green functions, are taken as kernels to define a hierarchy of integral operators. They are used to investigate the solvability of some types of Dirichlet problems for linear complex partial differential equations with leading term as the polyharmonic operator. © 2009 Birkhäuser Verlag Basel/Switzerland.
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    Book Part
    Dirichlet Problem for Inhomogeneous Biharmonic Equation in Clifford Analysis
    (Springer Science and Business Media Deutschland GmbH, 2022) Aksoy,Ü.; Çelebi,A.O.
    An integral representation formula in terms of the bi-Laplacian operator is obtained and Dirichlet problem for the bi-Poisson equation is solved in Clifford analysis. © 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.