摘要
Clunie引理和Mohon’ko引理是经典的亚纯函数值分布理论的重要定理,并且有着广泛的应用。近年来tropical值分布理论得到初步的建立和发展,其中tropical差分多项式的Clunie引理和Mohon’ko引理得到了相应的证明。文章的主要目的是通过tropical q差分的对数导数引理证明了tropical q差分多项式的Clunie引理和Mohon’ko引理。同时文章还给出了tropical q差分的Hayman定理。
Clunie lemma and Mohon'ko lemma play an important role in classical value distribution theory and have a wide range of applications.In recent years,the tropical distribution theory was initially established and developed,with corresponding proof forthe Clunie and Mohon'ko lemma of tropical difference polynomial beingobtained.The main purpose of this paper was to prove the Clunie and Mohon'ko lemma for tropical q-difference polynomials by using the tropical q-difference analogue of lemma on logarithmic derivative.In addition,the tropical q-difference analogue of Hayman theorem was given.
作者
薛培智
曹廷彬
XUE Peizhi;CAO Tingbin(Department of Mathematics of Nanchang University,Nanchang Jiangxi,330031,China)
出处
《南昌大学学报（理科版）》
CAS
北大核心
2023年第5期409-415,共7页
Journal of Nanchang University(Natural Science)
基金
国家自然科学基金项目(11871260)
江西省自然科学基金项目(20232AC B201005)。
