Estimation of coefficient bounds for a subclass of Sakaguchi kind functions mapped onto various domains

Abstract

In this article, we define a new subclass of analytic functions ℛ(t,δ){\mathcal{ {\mathcal R} }}\left(t,\delta ) in the open unit disk D{\mathbb{D}} associated with the petal-shaped domain. The bounds of the coefficients a2{a}_{2}, a3{a}_{3}, and a4{a}_{4} for the functions in the new class are obtained. We also acquire the bound of the Fekete-Szegö inequality and the bound of the Toeplitz determinants T2(2){{\mathcal{T}}}_{2}\left(2) and T3(1){{\mathcal{T}}}_{3}\left(1) for the functions in the defined class.

Keywords

• analytic function
• starlike function
• toeplitz determinant
• fekete-szegö inequality
• 30c45
• 30c50