Uniqueness of Meromorphic Functions Concerning Sharing Two Small Functions with Their Derivatives | Zendy

Linke Ma | Zendy; Dan Liu | Zendy; Mingliang Fang | Zendy

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Uniqueness of Meromorphic Functions Concerning Sharing Two Small Functions with Their Derivatives

Author(s) -

Linke Ma,

Dan Liu,

Mingliang Fang

Publication year - 2020

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/20190115

Subject(s) - meromorphic function , uniqueness , mathematics , combinatorics , function (biology) , pure mathematics , mathematical analysis , evolutionary biology , biology

In this paper, we study the uniqueness of meromorphic functions that share two small functions with their derivatives. We prove the following result: Let f be a nonconstant meromorphic function such that lim r→∞ N̄(r,f) T (r,f) < 3 128 , and let a, b be two distinct small functions of f with a ̸≡ ∞ and b ̸≡ ∞. If f and f ′ share a and b IM, then f ≡ f ′.

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