Toeplitz determinants for the inverse of starlike functions connected with the sin function

英文关键词:the inverse of starlike function  Toeplitz determinant  sin function  upper bound

中文摘要:

      

英文摘要:

      Let S?s be the class of normalized functions f defined in the open unit U = {z ∈ C : |z| < 1} such that the quantity zf0(z) f(z) lies in an eight-shaped region in the right-half plane and satisfying the condition zf0(z) f(z) ? 1 + sinz(z ∈ U). In this paper, we aim to investigate Toeplitz determinants for the inverse of this function classes S?s associated with sin function.