Research Problems in Function Theory

Abstract

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Normality of meromorphic functions and their differential polynomials

“…The normality corresponding to Theorem 1 was conjectured by Hayman [4] in 1967, and confirmed by Gu [5] in 1979.…”

Nonexceptional functions and normal families of zero-free meromorphic functions

“…The normality corresponding to Theorem A was conjectured by Hayman [7,Problem 5.11] and confirmed by Gu [4].…”

A normal criterion concerning zero numbers

“…Theorem A [1] Let n ≥ 5 be a positive integer, F be a family of meromorphic functions in D and let a(≠ 0), b be two finite complex numbers. If, for any function…”