Value distribution of sequences of rational functions

1992 ◽  
pp. 7-20 ◽  
Author(s):  
M. Sodin
Keyword(s):  
Rational Functions ◽  
Value Distribution

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 .

scholarly journals Regions of meromorphy and value distribution of geometrically converging rational functions

2011 ◽  
Vol 382 (1) ◽  
pp. 66-76 ◽  
Author(s):  
H.-P. Blatt ◽  
R. Grothmann ◽  
R.K. Kovacheva
Keyword(s):  
Rational Functions ◽  
Value Distribution

Value distribution and uniqueness of $q$-shift difference polynomials

2016 ◽  
Vol 46 (2) ◽  
pp. 33-44
Author(s):  
Pulak Sahoo ◽  
Gurudas Biswas
Keyword(s):  
Value Distribution ◽  
Difference Polynomials

Application of the exp(-φ)-expansion method to the Pochhammer-Chree equation

Filomat ◽  
2018 ◽  
Vol 32 (9) ◽  
pp. 3347-3354 ◽  
Author(s):  
Nematollah Kadkhoda ◽  
Michal Feckan ◽  
Yasser Khalili
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Exact Solutions ◽  
Present Article ◽  
Analytical Solutions ◽  
Nonlinear Differential Equations ◽  
Nonlinear Partial Differential Equations ◽  
Rational Functions ◽  
Expansion Method ◽  
Exponential Functions

In the present article, a direct approach, namely exp(-?)-expansion method, is used for obtaining analytical solutions of the Pochhammer-Chree equations which have a many of models. These solutions are expressed in exponential functions expressed by hyperbolic, trigonometric and rational functions with some parameters. Recently, many methods were attempted to find exact solutions of nonlinear partial differential equations, but it seems that the exp(-?)-expansion method appears to be efficient for finding exact solutions of many nonlinear differential equations.

scholarly journals Padé approximants and noise: rational functions

1999 ◽  
Vol 105 (1-2) ◽  
pp. 285-297 ◽  
Author(s):  
Jacek Gilewicz ◽  
Maciej Pindor
Keyword(s):  
Rational Functions ◽  
Padé Approximants ◽  
Pade Approximants
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