Best approximation by rational functions and by meromorphic functions with some free poles

1967 ◽  
Vol 18 (1) ◽  
pp. 359-375
Author(s):  
J. L. Walsh
Keyword(s):  
Best Approximation ◽  
Meromorphic Functions ◽  
Rational Functions ◽  
Approximation By Rational Functions

Derivatives of Meromorphic Functions with Multiple Zeros and Rational Functions

2007 ◽  
Vol 8 (2) ◽  
pp. 483-491 ◽  
Author(s):  
Xuecheng Pang ◽  
Shahar Nevo ◽  
Lawrence Zalcman
Keyword(s):  
Meromorphic Functions ◽  
Rational Functions ◽  
Multiple Zeros ◽  
Derivatives Of

scholarly journals Value distribution of meromorphic functions concerning rational functions and differences

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Mingliang Fang ◽  
Degui Yang ◽  
Dan Liu
Keyword(s):  
Positive Integer ◽  
Meromorphic Function ◽  
Rational Function ◽  
Finite Order ◽  
Meromorphic Functions ◽  
Rational Functions ◽  
Value Distribution ◽  
Exponent Of Convergence ◽  
Nonzero Constant ◽  
Zero Points

AbstractLet c be a nonzero constant and n a positive integer, let f be a transcendental meromorphic function of finite order, and let R be a nonconstant rational function. Under some conditions, we study the relationships between the exponent of convergence of zero points of $f-R$ f − R , its shift $f(z+nc)$ f ( z + n c ) and the differences $\Delta _{c}^{n} f$ Δ c n f .

Approximation by Rational Functions

1977 ◽  
Vol s2-15 (2) ◽  
pp. 319-328 ◽  
Author(s):  
P. Erdős ◽  
D. J. Newman ◽  
A. R. Reddy
Keyword(s):  
Rational Functions ◽  
Approximation By Rational Functions
Sign in / Sign up

Export Citation Format

Share Document