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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
We also consider the entire solutions of the equation $f'(z)$ = f(qz), which is important for the uniqueness results.
📌 3 Key Takeaways
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Objective & Hypothesis:In this paper, we mainly deal with the problem that f(qz) and $f'(z)$ share common values.
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Key Findings & Data:One of the purpose is to explore whether the classical uniqueness results remain valid or not by considering some uniqueness theorems on f(qz) and $f'(z)$ sharing common values.
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Conclusion & Impact:We also consider the entire solutions of the equation $f'(z)$ = f(qz), which is important for the uniqueness results.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Value sharing · q-difference · derivative
Abstract
In this paper, we mainly deal with the problem that f(qz) and $f'(z)$ share common values. One of the purpose is to explore whether the classical uniqueness results remain valid or not by considering some uniqueness theorems on f(qz) and $f'(z)$ sharing common values. Some examples and remarks are given to show that our results are sharp in certain senses. We also consider the entire solutions of the equation $f'(z)$ = f(qz), which is important for the uniqueness results.
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Cite This Article
LIU, K., CAO, T. (2022). Values sharing results on q-difference and derivative of meromorphic functions. Hacettepe Journal of Mathematics and Statistics, Cilt: 45 - Sayı: 6, 1719–1728. https://ajindex.com/articles/530038