On the order and type of entire functions defined by multiple Dirichlet series

Mushtaq Shakir A. Hussein; Aseel Hameed Abed Sada

On the order and type of entire functions defined by multiple Dirichlet series

Mushtaq Shakir A. Hussein Department of Mathematics, College of science, Mustansiriha University, Iraq
Aseel Hameed Abed Sada Department of Mathematics, College of basic education, Mustansiriha University, Iraq

Keywords: Multiple Dirichlet series, order and type of the Dirichlet series.

Abstract

In this paper, we shall obtain some relations between the orders and types of entire functions represented by multiple Dirichlet series. By taking asymptotic behavior in their coefficients .The results has been given in the form of theorems.

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References

A.I Jansaukas, "Elementary Theorem on the convergence of double Dirichlet series", Doki.Akad.Nauk.SSR, 234(1977).

P.K.Sarkar,"On the order and type of an entire function in several complex variables represented byDirichlet series", Bull Cal, Math.Sac.74 (1982), 99-112.

P.K.Jain,"On order and type of an entire Dirichlet series of several complex variables", (1974), pp.52.

Q.Salimov,"On (R) Growth of Entire represented by multipleDirichlet series", vo.2, No.2, (2014).

Published

2015-12-27

How to Cite

A. Hussein, M. S., & Abed Sada, A. (2015). On the order and type of entire functions defined by multiple Dirichlet series. Journal of Progressive Research in Mathematics, 6(2), 746-752. Retrieved from http://scitecresearch.com/journals/index.php/jprm/article/view/532

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Issue

Vol 6 No 2: JPRM

Section

Articles

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