Abstract
In this paper, upper bounds for the fourth-order Hankel determinant H 4 1 for the function class S s ∗ associated with the sine function are given.
Highlights
Upper bounds for the fourth-order for the function class
Let A denote the class of functions f which are analytic in the open unit disk D = fz : ∣z∣ 0ðz ∈ DÞ: ð3ÞAssume that f and g are two analytic functions in D
Murugusundaramoorthy and Bulboacă [21] defined a new subclass of analytic functions MLac ðλ, φÞ and got upper bounds for the Fekete-Szegö functional and the Hankel determinant of order two for f ∈ MLac ðλ, φÞ: Islam et al [22] examined the q-analog of starlike functions connected with a trigonometric sine function and discussed some interesting geometric properties, such as the well-known problems of Fekete-Szegö, the necessary and sufficient condition, the growth and distortion bound, closure theorem, and convolution results with partial sums for this class
Summary
Upper bounds for the fourth-order for the function class Let A denote the class of functions f which are analytic in the open unit disk D = fz : ∣z∣
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