Value distribution of exponential polynomials and their role in the theories of complex differential equations and oscillation theory
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Publication:6135037
DOI10.1112/blms.12719zbMath1527.30023arXiv2202.01574OpenAlexW4296553917WikidataQ114077890 ScholiaQ114077890MaRDI QIDQ6135037
Zhi-Tao Wen, Kazuya Tohge, Katsuya Ishizaki, Janne Heittokangas
Publication date: 23 August 2023
Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2202.01574
value distributioncomplex differential equationsexponential polynomialscomplex difference equationscomplex oscillation theory
Nonlinear ordinary differential equations and systems (34A34) Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Special classes of entire functions of one complex variable and growth estimates (30D15) Oscillation, growth of solutions to ordinary differential equations in the complex domain (34M10) Linear ordinary differential equations and systems in the complex domain (34M03)
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Cites Work
- Zur Wertverteilung der Quotienten von Exponentialpolynomen
- On Bank-Laine functions
- On meromorphic solutions of non‐linear differential equations of Tumura–Clunie type
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- From Schanuel's conjecture to Shapiro's conjecture
- On entire solutions of certain type of differential-difference equations
- Exceptional values of solutions of linear differential equations
- On the complex oscillation of some linear differential equations
- Exponential polynomials as solutions of differential-difference equations of certain types
- The quotient of finite exponential sums
- Oscillation results for solutions of linear differential equations in the complex domain
- On analogies between nonlinear difference and differential equations
- On the meromorphic solutions of some algebraic differential equations
- On the frequency of zeros of solutions of second order linear differential equations
- Local solutions of \(w+A(z)w=0\) and branched polymorphic functions
- On a solution of \(w+e^{-z}w'+(az+b)w=0\)
- Über die Nullstellen von Lösungen linearer Differentialgleichungen
- On common zeros of exponential polynomials
- Zur Wertverteilung von Exponentialpolynomen
- The Nevanlinna functions of the Riemann zeta-function
- Linear and complex analysis problem book 3. Part 2
- Subnormal solutions of second order linear differential equations with periodic coefficients
- An oscillation result for a certain linear differential equation of second order
- Riccati differential equations with elliptic coefficients. II
- Riccati differential equations with elliptic coefficients
- Zero distribution and division results for exponential polynomials
- Exponential polynomials as solutions of certain nonlinear difference equations
- Meromorphic solutions of a Riccati differential equation with a doubly periodic coefficient
- On the transcendental solutions of a certain type of nonlinear differential equations
- Bank-Laine functions, the Liouville transformation and the Eremenko-Lyubich class
- Quasiconformal surgery and linear differential equations
- On the \(d\)th roots of exponential polynomials and related problems arising from the Green-Griffiths-Lang conjecture
- Generalization of Pólya's zero distribution theory for exponential polynomials, and sharp results for asymptotic growth
- Oscillation of solutions of LDE's in domains conformally equivalent to unit disc
- Entire solutions of binomial differential equations
- Exponential polynomials in the oscillation theory
- The asymptotic number of zeros of exponential sums in critical strips
- Research questions on meromorphic functions and complex differential equations
- A generalisation of the Bank-Laine property
- Solutions of nonlinear difference equations
- Dual exponential polynomials and linear differential equations
- Zero separation results for solutions of second order linear differential equations
- Über die Lösungen linearer Differentialgleichungen mit ganzen Funktionen als Koeffizienten
- Über die subnormalen Lösungen der Differentialgleichung \(w+e^{-z} \cdot w'+\text{konst.} \cdot w = 0\)
- On the Bank-Laine conjecture
- The quotient of exponential polynomials
- Über das Anwachsen der Lösungen linearer Differentialgleichungen
- Exponential polynomials as solutions of nonlinear differential-difference equations
- On the existence of exponential polynomials with prefixed gaps
- On complex oscillation, function-theoretic quantization of non-homogeneous periodic ordinary differential equations and special functions
- Completely regular growth solutions of second order complex linear differential equations
- On Value Distribution Theory of Second Order Periodic ODEs, Special Functions and Orthogonal Polynomials
- Second Order Differential Equations
- Second Order Differential Equations with Transcendental Coefficients
- [https://portal.mardi4nfdi.de/wiki/Publication:3728335 Construction of a Differential Equation y � � + Ay = 0 with Solutions having the Prescribed Zeros]
- On the oscillation of solutions of certain linear differential equations in the complex domain
- Finite Order Solutions of Second Order Linear Differential Equations
- Estimates for the Logarithmic Derivative of a Meromorphic Function, Plus Similar Estimates
- Meromorphic solutions of the Riccati differential equation
- The possible orders of solutions of linear differential equations with polynomial coefficients
- On the zeros of exponential sums and integrals
- On bank-laine sequences
- Growth and oscillation theory of non-homogeneous linear differential equations
- Oscillation results for n-th order linear differential equations with meromorphic periodic coefficients
- Oscillation results on y″ + Ay = 0 in the complex domain with transcendental entire coefficients which have extremal deficiencies
- [https://portal.mardi4nfdi.de/wiki/Publication:4740850 On the Oscillation Theory of f � � + Af = 0 where A is Entire]
- Oscillation Results for Some Linear Differential Equations.
- Dual exponential polynomials and a problem of Ozawa
- Complex oscillation of solutions of a third order ODE
- Research Problems in Function Theory
- Complex oscillation and nonoscillation results
- Zeros of Partial Sums of the Riemann Zeta Function
- The expansion of mean‐periodic functions in series of exponentials
- Subnormale Lösungen der Differentialgleichung: w” + p(ez)w’ + q(ez) w + 0
- A Theorem on Meromorphic Functions
- Special Functions and Orthogonal Polynomials
- Zur Wertverteilung der Quotienten von Exponentialpolynomen
