INITIAL COEFFICIENT ESTIMATES FOR SOME SUBCLASSES OF M-FOLD SYMMETRIC BI-UNIVALENT FUNCTIONS
INITIAL COEFFICIENT ESTIMATES FOR SOME SUBCLASSES OF M-FOLD SYMMETRIC BI-UNIVALENT FUNCTIONS作者机构:Department of Mathematics and StatisticsUniversity of Victoria China Medical University Department of Mathematics and Computer ScienceUniversity of Québec at Chicoutimi Department of MathematicsCollege of SciencesUniversity of Sharjah
出 版 物:《Acta Mathematica Scientia》 (数学物理学报(B辑英文版))
年 卷 期:2016年第36卷第3期
页 面:863-871页
核心收录:
学科分类:07[理学] 070104[理学-应用数学] 0805[工学-材料科学与工程(可授工学、理学学位)] 0704[理学-天文学] 0701[理学-数学]
主 题:analytic functions bi-univalent functions m-Fold symmetric functions m-Fold symmetric bi-univalent functions
摘 要:In the present investigation, we consider two new general subclasses B∑m(T, λ; α)and B^∑m (τ λ;β) of Em consisting of analytic and m-fold symmetric bi-univalent functions in the open unit disk U. For functions belonging to the two classes introduced here, we derive non-sharp estimates on the initial coefficients [a-~+ll and │a2+1│. Several connections to some of the earlier known results are also pointed out.