Abstract
Let f(z) be a transcendental meromorphic function, whose zeros have multiplicity at least 3. Set α(z): = β(z)exp (γ(z), where β(z) is a nonconstant elliptic function and γ(z) is an entire function. If σ(f(z)) > σ(α(z)), then f′(z) = α(z) has infinitely many solutions in the complex plane.
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The author would like to thank the referees for valuable remarks and suggestions.
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This work was supported by the National Natural Science Foundation of China (Grant Nos. 11671191, 11871216.
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Yang, P., Wang, S. On the Distribution of Meromorphic Functions of Positive Hyper-Order. Anal Math 47, 243–260 (2021). https://doi.org/10.1007/s10476-021-0070-1
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DOI: https://doi.org/10.1007/s10476-021-0070-1