Borel's theorem ona-points and exceptional values of Entire and Meromorphic Functions

1953 ◽  
Vol 59 (1) ◽  
pp. 88-93 ◽  
Author(s):  
S. M. Shah ◽  
S. K. Singh
Keyword(s):  
Meromorphic Functions ◽  
Borel’S Theorem

The Algebraic Independence of Certain Exponential Functions

1976 ◽  
Vol 28 (5) ◽  
pp. 968-976
Author(s):  
W. Dale Brownawell
Keyword(s):  
Meromorphic Functions ◽  
Entire Functions ◽  
General Theorem ◽  
Algebraic Independence ◽  
Exponential Functions ◽  
Linearly Independent ◽  
Borel’S Theorem ◽  
Picard’S Theorem ◽  
Picard's Theorem ◽  
Special Case

In 1897 E. Borel proved a general theorem which implied as a special case the following result equivalent to his celebrated generalization of Picard's theorem [2]: If f1 … ,fm are entire functions such that for each, C then the functions exp f1, … , exp f/m are linearly independent over C. In 1929 R. Nevanlinna [6] extended Borel's theorem to consider arbitrary C-linearly independent meromorphic functions < ϕi, … , < ϕm satisfying < ϕ1 + … + ϕm = 1.

Further investigations on Fujimoto type strong uniqueness polynomials

Filomat ◽  
2017 ◽  
Vol 31 (16) ◽  
pp. 5203-5216
Author(s):  
Abhijit Banerjee ◽  
Bikash Chakraborty ◽  
Sanjay Mallick
Keyword(s):  
Meromorphic Functions ◽  
Future Research ◽  
Strong Uniqueness ◽  
Open Questions

Taking the question posed by the first author in [1] into background, we further exhaust-ably investigate existing Fujimoto type Strong Uniqueness Polynomial for Meromorphic functions (SUPM). We also introduce a new kind of SUPM named Restricted SUPM and exhibit some results which will give us a new direction to discuss the characteristics of a SUPM. Moreover, throughout the paper, we pose a number of open questions for future research.

On Fixed Points of Meromorphic Functions f(z) and f(z + c), Δcf(z)

2019 ◽  
Vol 39 (5) ◽  
pp. 1277-1289
Author(s):  
Shuangting Lan ◽  
Zongxuan Chen
Keyword(s):  
Fixed Points ◽  
Meromorphic Functions

Meromorphic Functions with Slow Growth of Nevanlinna Characteristics and Rapid Growth of Spherical Derivative

2021 ◽  
Vol 252 (3) ◽  
pp. 420-427
Author(s):  
Sh. A. Makhmutov ◽  
M. S. Makhmutova
Keyword(s):  
Rapid Growth ◽  
Meromorphic Functions ◽  
Slow Growth ◽  
Spherical Derivative

Applications of the Jack’s lemma for the meromorphic functions

2021 ◽  
Author(s):  
Selin Aydinoğlu ◽  
Bülent Nafi Örnek
Keyword(s):  
Meromorphic Functions ◽  
Jack’S Lemma ◽  
Jack's Lemma

On the Distribution of Meromorphic Functions of Positive Hyper-Order

2021 ◽  
Vol 47 (1) ◽  
pp. 243-260
Author(s):  
P. Yang ◽  
S. Wang
Keyword(s):  
Meromorphic Functions ◽  
Hyper Order

scholarly journals A note on normality of meromorphic functions

2007 ◽  
Vol 83 (4) ◽  
pp. 60-62
Author(s):  
Jianming Chang
Keyword(s):  
Meromorphic Functions
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