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We take up a new method to prove a Picard type theorem. Let f be a meromorphic function in the complex plane, whose zeros are multiple, and let R be… Click to show full abstract
We take up a new method to prove a Picard type theorem. Let f be a meromorphic function in the complex plane, whose zeros are multiple, and let R be a Möbius transformation. If $${\overline {\lim } _{r \to \infty }}\frac{{T\left( {r,f} \right)}}{{{r^2}}} = \infty $$lim¯r→∞T(r,f)r2=∞ then f′z) = R(ez) has infinitely many solutions in the complex plane.
Keywords:
functions exponential;
meromorphic functions;
derivatives meromorphic;
exponential functions
Journal Title: Frontiers of Mathematics in China
Year Published: 2018
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Journal Title: Frontiers of Mathematics in China
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!