摘要
In this paper we introduce a new general subclass n,G∑ a,λ(A, B, α) of univalent functions related the known integral operator and differential operator. Some majorization results for n,G∑ a,λ(A, B, 1) as well as the other functions are given. Furthermore, we find the coefficients bounds on |a_2| and |a_3| for functions in*n,G∑ a,λ(A_1, B_1, A_2, B_2, α_1, α_2), which is the bi-univalent functions defined by n,G ∑a,λ(A, B, α) and subordination. By giving specific values of the parameters of our main results, several(known or new) consequences of main results are also discussed.
In this paper we introduce a new general subclass ∑ a, λ n,y （A, B, a） of univalent functions related the known integral operator and differential operator. Some majorization results for ∑ a,λ n,y （A, B, 1） as well as the other functions are given. Furthermore, we find the coefficients bounds on ｜a2｜ and ｜a3｜ for functions in ∑ a,λ n,y （A,B,a） and subordination. By giving specific values of the parameters of our main results, several（known or new） consequences of main results are also discussed.
基金
Supported by the Scientific Research Found of Education Department of Sichuan Province(14ZB0364)
