Öz
In this paper, a class of analytic functions f defined on the open unit
disc satisfying
Re
z(D
n,α
λ
f(z))0
D
n,α
λ
g(z)
> β
z(D
n,α
λ
f(z))0
D
n,α
λ
g(z)
− 1
+ γ,
is studied, where β ≥ 0, −1 ≤ γ < 1, β + γ ≥ 0. and g is a certain
analytic function associated with conic domains.
Among other results, inclusion relations and the coefficients bound are
studied. Various known special cases of these results are pointed out.
A subclass of uniformly quasi-convex functions is also studied.