scholarly journals Inequality for entire functions involving their maximum modulus and maximum term

2012 ◽  
Vol 23 (3) ◽  
pp. 259-265 ◽  
Author(s):  
Tatyana Shaposhnikova
Keyword(s):  
Entire Functions ◽  
Maximum Modulus ◽  
Maximum Term

scholarly journals Growth Estimates of Composite Entire Functions in the Light of Slowly Changing Functions Based Relative Order, Relative Type and Relative Weak Type

2015 ◽  
Vol 54 (1) ◽  
pp. 59-74
Author(s):  
S. K. Datta ◽  
T. Biswas ◽  
S. Bhattacharyya
Keyword(s):  
Weak Type ◽  
Entire Functions ◽  
Maximum Modulus ◽  
Relative Order ◽  
Maximum Term ◽  
Growth Properties ◽  
Relative Type

Abstract In the paper we prove some growth properties of maximum term and maximum modulus of composition of entire functions on the basis of relative L*-order, relative L*-type and relative L*-weak type.

scholarly journals On the maximum modulus and maximum term of composition of entire functions

2004 ◽  
Vol 35 (4) ◽  
pp. 293-300
Author(s):  
S. K. Vaish ◽  
R. Chankanyal
Keyword(s):  
Entire Functions ◽  
Maximum Modulus ◽  
Maximum Term ◽  
Growth Properties ◽  
Left And Right

We study some growth properties of maximum modulus and maximum term of composition of entire functions of $(p,q)$-order as compared to the growth of their corresponding left and right factors. Some of the results that we obtain here generalize and improve the known results of Singh and Baloria, and, Song and Yang.

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.

scholarly journals Growth of composite entire functions

2004 ◽  
Vol 35 (2) ◽  
pp. 135-144
Author(s):  
R. Chankanyal ◽  
S. K. Vaish
Keyword(s):  
Entire Function ◽  
Entire Functions ◽  
Maximum Term ◽  
Left And Right

The growth of maximum term of a composite entire function is compared with that of the maximum term of its left and right factors.

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