On Entire Functions Defined by a Dirichlet Series

1931 ◽  
Vol 53 (1) ◽  
pp. 1
Author(s):  
S. Mandelbrojt ◽  
J. J. Gergen
Keyword(s):  
Dirichlet Series ◽  
Entire Functions

scholarly journals The Growth on the Maximum Modulus of Double Dirichlet Series

2019 ◽  
Vol 2019 ◽  
pp. 1-12 ◽  
Author(s):  
Yong-Qin Cui ◽  
Hong-Yan Xu ◽  
Na Li
Keyword(s):  
Dirichlet Series ◽  
Partial Derivative ◽  
Entire Functions ◽  
Maximum Modulus ◽  
Logarithmic Order ◽  
Double Dirichlet Series

The main purpose of this paper is to investigate the growth of several entire functions represented by double Dirichlet series of finite logarithmic order, h-order. Besides, we also study some properties on the maximum modulus of double Dirichlet series and its partial derivative. Our results are extension and improvement of previous results given by Huo and Liang.

On entire functions represented by Dirichlet series

1964 ◽  
Vol 68 (3) ◽  
pp. 235-239 ◽  
Author(s):  
Pawan Kumar Kamthan
Keyword(s):  
Dirichlet Series ◽  
Entire Functions

scholarly journals Proximate order (R) of entire functions represented by Dirichlet series (IV)

1965 ◽  
Vol 7 (1) ◽  
pp. 15-18 ◽  
Author(s):  
Pawan Kumar Kamthan
Keyword(s):  
Dirichlet Series ◽  
Entire Functions ◽  
Proximate Order ◽  
Image Position

where be an entirefunction represented by a Dirichlet series whose order (R) and proximate order (R) are respectively ρ (0 < ρ < ∞) and ρ(σ). For proximate order (R) and its properties, see the paper of Balaguer [4, p. 28].

scholarly journals Gol'dberg Order and Gol'dberg Type of Entire Functions Represented by Multiple Dirichlet Series

1970 ◽  
Vol 29 ◽  
pp. 63-70
Author(s):  
Md Feruj Alam
Keyword(s):  
Dirichlet Series ◽  
Hadamard Product ◽  
Entire Functions ◽  
Complex Variables ◽  
Several Complex Variables ◽  
Multiple Dirichlet Series

We consider the Hadamard product of the class of entire multiple Dirichlet series in several complex variables having the same sequence of exponents. Our object is to study the nature of Gol'dberg order and Gol’dberg type of these functions. GANIT J. Bangladesh Math. Soc. (ISSN 1606-3694) 29 (2009) 63-70  DOI: http://dx.doi.org/10.3329/ganit.v29i0.8516

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