Walter Bergweiler
Abstract
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It is proved that $f(g) - R$ has infinitely many zeros if f is a transcendental meromorphic, g a transcendental entire, and R a non-constant rational function. The exponent of convergence of the sequence of zeros of $f(g) - R$ is also estimated.
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It is proved that $f(g) - R$ has infinitely many zeros if f is a transcendental meromorphic, g a transcendental entire, and R a non-constant rational function. The exponent of convergence of the sequence of zeros of $f(g) - R$ is also estimated.
Key concepts: Meromorphic function, Transcendental number, Entire function, Mathematics, Exponent, Transcendental function, Transcendental equation, Rational function