Hankel Inequalities for a Subclass of Bi-Univalent Functions based on Salagean type q-Difference Operator

Abstract

In this investigation a new subclass of bi-univalent functions is established that is defined in the open unit disk Δ={𐌶 ∈ ℂ: |𐌶| < 1} and are endowed with the Sălăgean type q-difference operator. Then, Hankel inequalities for the new function class are obtained and several related consequences of the results are also stated.

Keywords

• bi-univalent
• coefficient bounds
• convex functions
• Hankel inequalities
• Starlike
• univalent