Growth of Maximum Term of Iterated Entire Functions

2019 ◽  
Vol 10 (5) ◽  
pp. 1011-1015
Author(s):  
Nintu Mandal
Keyword(s):  
Entire Functions ◽  
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 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.

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 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 Some relations on the growth rates of composite entire functions using their (p,q) th order

2013 ◽  
Vol 44 (3) ◽  
pp. 289-301 ◽  
Author(s):  
Sanjib Kumar Datta ◽  
Tanmay Biswas ◽  
Manab Biswas
Keyword(s):  
Growth Rates ◽  
Entire Functions ◽  
Maximum Term ◽  
Left And Right

In this paper we discuss the growth rates of the maximum term of composition of entire functions with their corresponding left and right factors.

scholarly journals Growth of Generalize Iterated Entire Functions and Maximum Term

2019 ◽  
Vol 7 (4) ◽  
pp. 406-408
Author(s):  
Ratan Kumar Dutta ◽  
Nintu Mandal
Keyword(s):  
Entire Functions ◽  
Maximum Term

scholarly journals Relations between the maximum modulus and maximum term of entire functions

1985 ◽  
Vol 118 (2) ◽  
pp. 479-485 ◽  
Author(s):  
Paul Lockhart ◽  
Ernst Straus
Keyword(s):  
Entire Functions ◽  
Maximum Modulus ◽  
Maximum Term

scholarly journals On the Maximum Term and Central Index of Entire Functions and Their Derivatives

2018 ◽  
Vol 2018 ◽  
pp. 1-6
Author(s):  
Jianren Long ◽  
Zhigao Qin
Keyword(s):  
Entire Functions ◽  
Maximum Term ◽  
Logarithmic Order ◽  
Entire Series ◽  
Central Index

We shall establish some criteria on entire series with finite logarithmic order in terms of maximum term and central index.

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