Growth and zeros of meromorphic solution of some linear difference equations
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Publication:710926
DOI10.1016/j.jmaa.2010.06.049zbMath1208.39028OpenAlexW2083518652MaRDI QIDQ710926
Publication date: 22 October 2010
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.06.049
Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Linear difference equations (39A06) Difference equations in the complex domain (39A45)
Related Items (39)
Entire solutions of certain class of differential-difference equations ⋮ The existence and forms of solutions for some Fermat-type differential-difference equations ⋮ Results on the growth of meromorphic solutions of some linear difference equations with meromorphic coefficients ⋮ On the meromorphic solutions of some linear difference equations ⋮ The growth of difference equations and differential equations ⋮ On Picard exceptional values of difference polynomials ⋮ Some uniqueness problems concerning meromorphic functions ⋮ Some properties of meromorphic solutions of systems of complex \(q\)-shift difference equations ⋮ Entire solutions of certain type of difference equations ⋮ On entire solutions of some differential-difference equations ⋮ On growth of meromorphic solutions of some kind of non-homogeneous linear difference equations ⋮ The zeros of differential-difference polynomials of certain types ⋮ Meromorphic solutions of linear difference equations with polynomial coefficients ⋮ The poles and growth of solutions of systems of complex difference equations ⋮ On growth of meromorphic solutions for linear difference equations with meromorphic coefficients ⋮ On the growth of solutions of difference equations in ultrametric fields ⋮ Radial distribution of Julia sets of entire solutions to complex difference equations ⋮ Unnamed Item ⋮ On growth, zeros and poles of meromorphic solutions of linear and nonlinear difference equations ⋮ On the growth of meromorphic solutions of difference equations ⋮ The properties of differential-difference polynomials ⋮ On value distribution of \(\Delta^{n}f\) ⋮ On the growth analysis of meromorphic solutions of finite \(\varphi\)-order of linear difference equations ⋮ Growth and uniqueness related to complex differential and difference equations ⋮ The existence and growth of solutions for several systems of complex nonlinear difference equations ⋮ The existence and forms of solutions for several systems of the Fermat-type difference-differential equations ⋮ Relationships between entire functions and their forward differences ⋮ Meromorphic solutions of complex differential-difference equations ⋮ The growth of the solutions of certain type of difference equations ⋮ A note on entire functions and their differences ⋮ Existence of entire solutions of some non-linear differential-difference equations ⋮ Results on the growth of meromorphic solution for a class system of complex functional equations ⋮ On properties of meromorphic solutions for difference equations concerning gamma function ⋮ Some results related to complex linear and nonlinear difference equations ⋮ Relationships between characteristic functions of \(\Delta^nf\) and \(f\) ⋮ Value distribution of meromorphic solutions of homogeneous and non-homogeneous complex linear differential-difference equations ⋮ Growth of meromorphic solutions of linear difference equations without dominating coefficients ⋮ On growth of meromorphic solutions for linear difference equations ⋮ Unnamed Item
Cites Work
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- Estimates for the zeros of differences of meromorphic functions
- Complex difference equations of Malmquist type
- On zeros and fixed points of differences of meromorphic functions
- Existence of finite-order meromorphic solutions as a detector of integrability in difference equations
- Difference analogue of the lemma on the logarithmic derivative with applications to difference equations
- Slowly growing integral and subharmonic functions
- Zeros of differences of meromorphic functions
- On the extension of the Painlevé property to difference equations
- Wiman-Valiron method for difference equations
- Clunie theorems for difference and q -difference polynomials
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