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Bases in the Space of Entire Functions of Several Complex Variables Represented by Dirichlet Series having Finite Order Point


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1 Department of Mathematics, Assiut University, Assiut, Egypt
     

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Let C denote the complex plane and Cn the cartesian product of G taken n times, equipped with the usual product topology. Let T be the space of all Entire functions f : C2→C (for the sake of brevity and simplicity, we consider the case when n=2, though our results can be easily extended to any finite integer n) having an order point at most equal to (p1, P2), where pand p2 are positive finite numbers.


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  • Bases in the Space of Entire Functions of Several Complex Variables Represented by Dirichlet Series having Finite Order Point

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Authors

S. Daoud
Department of Mathematics, Assiut University, Assiut, Egypt

Abstract


Let C denote the complex plane and Cn the cartesian product of G taken n times, equipped with the usual product topology. Let T be the space of all Entire functions f : C2→C (for the sake of brevity and simplicity, we consider the case when n=2, though our results can be easily extended to any finite integer n) having an order point at most equal to (p1, P2), where pand p2 are positive finite numbers.