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Growth properties of vector valued Dirichlet series with complex exponents

Research paper by Akanksha, G. S. Srivastava

Indexed on: 08 Feb '18Published on: 07 Feb '18Published in: Afrika Matematika



Abstract

Several authors have studied the growth properties of Dirichlet series and vector valued Dirichlet series (VVDS). Wen Ping Huang, Ju Hong Ning and Jin Tu have obtained various results by considering Dirichlet series with complex exponents. In this paper we obtainthe characterizations of order and type of vector valued Dirichlet series which generalize some well known results for growth of classical Dirichlet series. Further we have tried to study the growth properties of holomorphic vector valued Dirichlet series with complex exponents.