ON THE BRÜCK CONJECTURE
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Publication:2800095
DOI10.1017/S000497271500115XzbMath1379.30016OpenAlexW2210512442WikidataQ123193497 ScholiaQ123193497MaRDI QIDQ2800095
Publication date: 14 April 2016
Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s000497271500115x
entire functionNevanlinna theoryshared valuehyper-orderBrück conjecturecomplex linear differential equation
Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Oscillation, growth of solutions to ordinary differential equations in the complex domain (34M10)
Related Items (15)
On an open problem of Zhang and Yang ⋮ Entire Function Sharing Entire Function with its First Derivative ⋮ Brück conjecture with hyper-order \(\sigma_{\mathbf {2}}(f) < \mathbf {1}\) and linear differential polynomials ⋮ An open problem of Lü, Li and Yang ⋮ Relationship between entire functions and their derivatives sharing small function except a set ⋮ A power of a combination of meromorphic function with its shift sharing small function with its derivative ⋮ Power of entire function sharing non-zero polynomials with it's linear differential polynomial ⋮ Infinite growth of solutions of second order complex differential equation ⋮ Meromorphic function sharing entire functions IM with its first derivative ⋮ A power of a meromorphic function sharing a small function IM with its first derivative ⋮ The Infinite Hyper Order of Solutions of Differential Equation Related to Brück Conjecture ⋮ On the transcendental meromorphic solutions of a certain class of differential equations ⋮ Unnamed Item ⋮ A result on a question of Lü, Li and Yang ⋮ A power of a meromorphic function sharing two small functions with a derivative of the power
Cites Work
- An entire function and its derivatives sharing a polynomial
- Uniqueness of entire function sharing a small function with its derivative
- Entire functions that share one value with one or two of their derivatives
- The complex oscillation theory of certain non-homogeneous linear differential equations with transcendental entire coefficients
- On entire functions which share one value CM with their first derivative
- Solution of a differential equation and its applications
- The growth of linear differential equations and their applications
- Entire functions sharing one polynomial with their derivatives
- On the complex oscillation of higher order linear differential equations with meromorphic coefficients
- Entire functions that share a small function with their derivatives
- Growth of solutions of a class of complex differential equations
- Estimates for the Logarithmic Derivative of a Meromorphic Function, Plus Similar Estimates
- ON THE ENTIRE FUNCTION SHARING ONE VALUE CM WITH K-TH DERIVATIVES
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