摘要：By using the theory of complex differential equations, the purpose of this paper is to investigate a conjecture of Brück concerning an entire function f and its differential polynomial L ( f ) = a k ( z ) f ( k ) + ⋯ + a 0 ( z ) f sharing a function α ( z ) and a constant β. We also study the problem on entire function and its difference polynomials sharing a function. MSC:39A50, 30D35.
关键词：entire function ; Brück’s conjecture ; difference equation
