Abstract
We consider a class of characteristic initial value problems on the complex projective plane. We give as initial functions on a line the Gauss hypergeometric function, and investigate what kind of solutions are obtained.We make use of the theory of the classical Euler-Poisson-Darboux equation to get an integral representation of the solution. The family of solutions contains Appell’s two-dimensional hypergeometric functions F1 and F2.
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