Notes On Partial Differential Equations III: Two Dirchlet Type Problems For Poisson's Equation
Jovan D. Kečkić (1975)
Publications de l'Institut Mathématique
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Jovan D. Kečkić (1975)
Publications de l'Institut Mathématique
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Eleutherius Symeonidis (2003)
Commentationes Mathematicae Universitatis Carolinae
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We present explicit expressions of the Poisson kernels for geodesic balls in the higher dimensional spheres and real hyperbolic spaces. As a consequence, the Dirichlet problem for the projective space is explicitly solved. Comparison of different expressions for the same Poisson kernel lead to interesting identities concerning special functions.
S. L. Gupta (1964)
Collectanea Mathematica
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Václav Dupač (1979)
Acta Universitatis Carolinae. Mathematica et Physica
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