Abstract:
In applying a generalized linear derivative operator Dα,δ(m, q, λ), a
new subclass of analytic functions denoted by S
α,δ(m, q, λ, φ), is introduced.
For this class, sharp bounds for the Fekete- Szeg¨o functional |a3 − µa2
2
|
are obtained. Also we give applications of our results to certain functions
defined through convolution (or Hadamard product) and in particular,
we consider a class of functions defined by fractional derivatives. The
aim of this paper is to generalize the Fekete-Szeg¨o inequalities given by
Srivastava and Mishra [