1988Science in China Series A-Mathematics Physics Astronomy & Technological ScienceRequires access

ON HAYMAN DIRECTIONS

Xianghong Gong, GU Yong-xing

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Abstract

In this paper, we shah show that if f(z) is a meromorphic function of order λ (0λ ∞) in the plane, then there exists a direction (B): arg z=θ_0(0≤θ_02π) such that holds for any positive 8, any positive integer k and any two meromorphic functions a(z), b(z) of order less than λ. with a~((k))(z)(?)b(z) in the plane.

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What this paper is about

In this paper, we shah show that if f(z) is a meromorphic function of order λ (0λ ∞) in the plane, then there exists a direction (B): arg z=θ_0(0≤θ_02π) such that holds for any positive 8, any positive integer k and any two meromorphic functions a(z), b(z) of order less than λ. with a~((k))(z)(?)b(z) in the plane.

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Available abstract

In this paper, we shah show that if f(z) is a meromorphic function of order λ (0λ ∞) in the plane, then there exists a direction (B): arg z=θ_0(0≤θ_02π) such that holds for any positive 8, any positive integer k and any two meromorphic functions a(z), b(z) of order less than λ. with a~((k))(z)(?)b(z) in the plane.

Key concepts: Meromorphic function, Order (exchange), Integer (computer science), Plane (geometry), Complex plane, Mathematics, Function (biology), Combinatorics

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