In this paper, we investigate the coefficient estimates of a class of m-fold bi-univalent function de?ned by subordination. The results presented in this paper improve or generalize the recent works of other authors.
In this paper,some new criteria for univalence of analytic functions defined in the unit disk in terms of two parameters are presented.Moreover,the related result of Aharonov and Elias(Aharonov D,Elias U.Univalence cr...In this paper,some new criteria for univalence of analytic functions defined in the unit disk in terms of two parameters are presented.Moreover,the related result of Aharonov and Elias(Aharonov D,Elias U.Univalence criteria depending on parameters.Anal.Math.Phys.,2014,4(1-2):23–34)is generalized.展开更多
设Q={f(z):f(z)=z-an+1zn+1-sum from k=n+2 to ∞(akzk)},这里an+1=(c(n+2))/((n+1)(n+3)),ak≥0,sum from k=n+2 to ∞((k(k+2))/(k+1)ak)≤1-c,0≤c≤1,n∈N,并且f(z)在单位圆盘Δ={z:|z|<1}内解析,得到函数族Q的极值点与支撑点.
In this paper, we investigate a subordination property and the coefficient inequality for the class M(1, b), The lower bound is also provided for the real part of functions belonging to the class M(1, b).
基金The NSF(KJ2018A0839,KJ2018A0833) of Anhui Provincial Department of Education
文摘In this paper, we investigate the coefficient estimates of a class of m-fold bi-univalent function de?ned by subordination. The results presented in this paper improve or generalize the recent works of other authors.
基金The NSF(11501001)of Chinathe NSF(1908085MA18)of Anhui Provincethe Foundation(Y01002428)of Anhui University
文摘In this paper,some new criteria for univalence of analytic functions defined in the unit disk in terms of two parameters are presented.Moreover,the related result of Aharonov and Elias(Aharonov D,Elias U.Univalence criteria depending on parameters.Anal.Math.Phys.,2014,4(1-2):23–34)is generalized.
文摘设Q={f(z):f(z)=z-an+1zn+1-sum from k=n+2 to ∞(akzk)},这里an+1=(c(n+2))/((n+1)(n+3)),ak≥0,sum from k=n+2 to ∞((k(k+2))/(k+1)ak)≤1-c,0≤c≤1,n∈N,并且f(z)在单位圆盘Δ={z:|z|<1}内解析,得到函数族Q的极值点与支撑点.
文摘In this paper, we investigate a subordination property and the coefficient inequality for the class M(1, b), The lower bound is also provided for the real part of functions belonging to the class M(1, b).
