Entire Functions Represented by Hyper Dirichlet Series of Infinite Order
Ning Ju-hong
Abstract
Ning Ju-hong
Abstract
The necessary and sufficient conditions are given for the existence of an entire functions whose coefficients are dominated by an appropriate function,being not identically to zero,bounded in a horizontal strip and to be able represented by Hyper Dirichlet Series of Infinite Order.
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The necessary and sufficient conditions are given for the existence of an entire functions whose coefficients are dominated by an appropriate function,being not identically to zero,bounded in a horizontal strip and to be able represented by Hyper Dirichlet Series of Infinite Order.
Key concepts: Dirichlet series, Mathematics, General Dirichlet series, Series (stratigraphy), Bounded function, Dirichlet eta function, Dirichlet conditions, Order (exchange)