Walter Bergweiler
Abstract
It is proved that f ( g ) − R 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 f(g) - R is also estimated.
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It is proved that f ( g ) − R 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 f(g) - R is also estimated.
Key concepts: Meromorphic function, Transcendental number, Composition (language), Entire function, Transcendental function, Mathematics, Pure mathematics, Philosophy