Coefficient Estimates and Other Properties for a Class of Spirallike Functions Associated with a Differential Operator

Abstract EN

For 0≤η<1, 0≤λ<1, −π/2<γ<π/2, 0≤β≤α, and m∈ℕ∪{0}, a new class Sα,βm(η,γ,λ) of analytic functions defined by means of the differential operator Dα,βm is introduced.

Our main object is to provide sharp upper bounds for Fekete-Szegö problem in Sα,βm(η,γ,λ).

We also find sufficient conditions for a function to be in this class.

Some interesting consequences of our results are pointed out.