A power of an entire function sharing one value with its derivative

DOI10.1016/j.camwa.2010.08.001zbMath1205.30033OpenAlexW1979969885MaRDI QIDQ623149

Ji-Long Zhang, Lian-Zhong Yang

Publication date: 13 February 2011

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2010.08.001

zbMATH Keywords

entire functionshared valueuniqueness theorems

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35)

Related Items (18)

On an open problem of Zhang and Yang ⋮ UNIQUENESS OF MEROMORPHIC FUNCTIONS CONCERNING THE SHIFTS AND DERIVATIVES ⋮ Unicity of shift polynomials generated by meromorphic functions ⋮ Unnamed Item ⋮ An open problem of Lü, Li and Yang ⋮ Entire function sharing two values with its \(k\)th derivative with the glint of normal family ⋮ A power of a meromorphic function sharing a small function \(\mathrm{IM}\) with its \(k\)-th derivative ⋮ Entire function sharing two polynomials with its $k$th derivative ⋮ 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 ⋮ On the transcendental entire solutions of a certain differential equation and fixed points ⋮ A power of a meromorphic function sharing a small function IM with its first derivative ⋮ Unnamed Item ⋮ On the transcendental meromorphic solutions of a certain class of differential equations ⋮ On unicity of meromorphic functions concerning the shifts and derivatives ⋮ 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

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• The uniqueness of meromorphic functions with their derivatives
• A uniqueness theorem for meromorphic functions whose \(N\)-th derivatives share the same 1-points
• Uniqueness of meromorphic functions that share one small function with their derivatives
• On conjecture of R.Brück concerning the entire function sharing one value CM with its derivative
• On entire functions which share one value CM with their first derivative
• Non-existence of meromorphic solutions of a Fermat type functional equation
• Uniqueness of Meromorphic Functions Sharing a Small Function with Their Differential Polynomials

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