Full-Text Search：

## On Normal Families of Meromorphic Functions

LAN Fu-xiang,LI Jiang-taoCollege of Mathematic and Physics,Chongqing University,Chongqing 400030,China
Let F be a family of meromorphic functions in a domain D,a(z)be a non-vanishing analytic function in D.Let k be a positive integer such that k≥3,and A,B be two positive real numbers.a0(z),a1(z),…,ak-1(z) are analytic functions in the domain D.If for every function f∈F,f has only zeros of multiplicity at least k and satisfies the following conditions:(1°) if f(k)(z)+ak-1(z)f(k-1)(z)+…a1(z)f′(z)+a0(z)f(z)=a(z),then |f(z)|≥A(z∈D);(2°) If f(z)=0 then,0f(k)(z)≤B(z∈D),Then F is normal in D.
【CateGory Index】： O174.5
CAJViewer7.0 supports all the CNKI file formats; AdobeReader only supports the PDF format.
Similar Journals
 > Acta Mathematica Sinica(Chinese Series) > Journal of Jiaying University > Journal of University of Shanghai for Science and Technology > Journal of China West Normal University(Natural Sciences) > Scientia Sinica(Mathematica) > Journal of Northwest Normal University(Natural Science) > Journal of Dehong Teachers College > Journal of Mathematics > Journal of Nanjing Normal University(Natural Science Edition) > Journal of Guangxi Teachers Education University(Natural Science Edition)