Picard-Hayman behavior of derivatives of meromorphic functions
Let $f$ be a transcendental meromorphic function on $\mathbb{ C}$, and $P(z), Q(z)$ be two polynomials with $\deg P(z)>\deg Q(z)$. In this paper, we prove that: if $f(z)=0\Rightarrow f^{\prime}(z)=a$(a nonzero constant), except possibly finitely many, then $f^{\prime}(z)-P(z)/Q(z)$ has infinitely...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Académie des sciences
2020-10-01
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| Series: | Comptes Rendus. Mathématique |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.96/ |