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Conference Object Citation - Scopus: 17Dirichlet 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.Book Part Citation - Scopus: 1Dirichlet Problem for Poisson and Bi-Poisson Equations in Clifford Analysis(Springer International Publishing, 2019) Aksoy,Ü.Dirichlet problems for Poisson equation and a second order linear equation are studied in the unit ball by using an integral representation formula with respect to the Laplacian in the complex Clifford algebra ℂ m for m ≥ 3. Iterating the Green type kernel function, representation of the solution of the bi-Poisson equation with homogeneous Dirichlet condition is presented. © Springer Nature Switzerland AG 2019.
