Estimates for the zeros of differences of meromorphic functions
Estimates for the zeros of differences of meromorphic functions作者机构:Department of MathematicsCollege of Natural SciencesPusan National University
出 版 物:《Science China Mathematics》 (中国科学:数学(英文版))
年 卷 期:2009年第52卷第11期
页 面:2447-2458页
核心收录:
学科分类:07[理学] 070104[理学-应用数学] 0701[理学-数学]
基 金:supported by National Natural Science Foundation of China (Grant No. 10871076) Brain Pool Program of Korean Federation of Science and Technology Societies (Grant No. 072-1-3-0164)
主 题:complex difference zero exponents of convergence 30D35 39B12
摘 要:Let f be a transcendental meromorphic function and g(z)=f(z+c1)+f(z+c2)-2f(z) and g2(z)=f(z+c1)·f(z+c2)-f2(z).The exponents of convergence of zeros of differences g(z),g2(z),g(z)/f(z),and g2(z)/f2(z) are estimated accurately.