Abstract
AbstractIn the present investigation we solve Fekete-Szegö problem for the generalized linear differential operator. In particular, our theorems contain corresponding results for various subclasses of strongly starlike and strongly convex functions
Highlights
Let A be the family of all analytic functions f of the form (1.1)
The linear multiplier differential operator Dm(λ, φ)f was defined by the authors in [7] as follows: D0(λ, φ)f (z) = f (z), D1(λ, φ)f (z) = D(λ, φ)f (z)
It should be remarked that the Dm(λ, φ) is a generalization of many other linear operators considered earlier
Summary
Fekete–Szego problem, Hadamard product, linear operator, strongly starlike functions, strongly convex functions. The linear multiplier differential operator Dm(λ, φ)f was defined by the authors in [7] as follows: D0(λ, φ)f (z) = f (z), D1(λ, φ)f (z) = D(λ, φ)f (z) If f is given by (1.1), from the definition of the operator Dm(λ,φ)f (z) it is easy to see that It should be remarked that the Dm(λ, φ) is a generalization of many other linear operators considered earlier.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
