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We find explicit forms for all the entire solutions of a certain type of non-linear binomial differential equation. This has connections to results of Hayman, Mues, Langley and Bergweiler. Observations about entire solutions of two similar types of binomial differential equations are discussed, and open questions about all three types of equations are posed.
Computational Methods and Function Theory – Springer Journals
Published: Dec 1, 2021
Keywords: Entire function; Non-linear differential equation; Binomial differential equation; Meromorphic function; Nevanlinna theory; 34M10; 34M05; 30D35
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