Coefficient Inequalities for Starlikeness and Convexity

Abstract

For an analytic function f(z)=z+\sum_{n=2}^\infty a_n z^n satisfying the inequality \sum_{n=2}^\infty n(n-1)|a_n|\leq β, sharp bound on $\beta$ is determined so that $f$ is either starlike or convex of order $\alpha$. Several other coefficient inequalities related to certain subclasses are also investigated.

References in corpus (1)

• Uniformly Convex and Uniformly Starlike Functions

Cited by in corpus (3)

• Integral transforms of functions to be in the Pascu class using duality techniques
• Order of convexity of Integral Transforms and Duality
• Convexity of the Generalized Integral Transform and Duality Techniques