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1995•Canadian Mathematical BulletinOpen access

A Quantitative Estimate on Fixed-Points of Composite Meromorphic Functions

Jian-Hua Zheng

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Abstract

Abstract Let ƒ(z) be a transcendental meromorphic function of finite order, g(z) a transcendental entire function of finite lower order and let α(z) be a non-constant meromorphic function with T(r, α) = S(r,g). As an extension of the main result of [7], we prove that where J has a positive lower logarithmic density.

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Abstract Let ƒ(z) be a transcendental meromorphic function of finite order, g(z) a transcendental entire function of finite lower order and let α(z) be a non-constant meromorphic function with T(r, α) = S(r,g). As an extension of the main result of [7], we prove that where J has a positive lower logarithmic density.

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Available abstract

Abstract Let ƒ(z) be a transcendental meromorphic function of finite order, g(z) a transcendental entire function of finite lower order and let α(z) be a non-constant meromorphic function with T(r, α) = S(r,g). As an extension of the main result of [7], we prove that where J has a positive lower logarithmic density.

Key concepts: Meromorphic function, Mathematics, Transcendental number, Order (exchange), Entire function, Logarithm, Function (biology), Pure mathematics

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