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

Abstract

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 a 2 {a}_{2} , a 3 {a}_{3} , and a 4 {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 T 2 ( 2 ) {{\mathcal{T}}}_{2}\left(2) and T 3 ( 1 ) {{\mathcal{T}}}_{3}\left(1) for the functions in the defined class.