نتایج جستجو برای: General Dirichlet Series

تعداد نتایج: 1052284  

Journal: :Studia Mathematica 2021

With early contributions due to, among others, Besicovitch, Bohr, Bohnenblust, Hardy, Hille, Riesz, Neder and Landau, the last 20 years show a substantial revival of systematic research on ordinary Dirichlet series $\sum a_n n^{-s}$, more recently eve

Journal: :Transactions of the American Mathematical Society 2013

Journal: :Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-matematicas 2021

Inspired by a recent article on Fréchet spaces of ordinary Dirichlet series $$\sum a_n n^{-s}$$ due to J. Bonet, we study topological and geometrical properties certain scales general e^{-\lambda _n s}$$ focus the space $$\lambda $$ -Dirichlet which have limit functions bounded all half planes strictly smaller than right plane $$[{{\,\mathrm{Re}\,}}>0]$$ . We develop an abstract setting pre-Fré...

Journal: :Czechoslovak Mathematical Journal 2012

Journal: :Mathematische Nachrichten 2020

In this paper, we introduce the idea of generalized Ritt type and generalised Ritt weak type of entire functions represented by a vector valued Dirichlet series. Hence, we study some growth properties of two entire functions represented by a vector valued Dirichlet series on the basis of generalized Ritt type and generalised Ritt weak type.

In this paper, we introduce the idea of relative order and type of entire functions represented by Banach valued Dirichlet series of two complex variables to generalize some earlier results. Proving some preliminary theorems on the relative order, we obtain sum and product theorems and we show that the relative order of an entire function represented by Dirichlet series is the same as that of i...

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