Abstract
Abstract
Let f be analytic in the unit disc D = {z : |z| < 1} with
f
(
z
)
=
z
+
∑
n
=
2
∞
a
n
z
n
, and for α ≥ 0 and 0 < β ≤ 1, let B
1(α, ß), denote for the class of Bazilevič functions satisfying the expression
|
arg
z
1
−
α
f
′
(
z
)
f
(
z
)
1
−
α
|
<
β
π
2
. We give sharp estimates for various coefficient problems for functions in B
1(α, β), which unify and extend well-known results for starlike functions, strongly starlike functions and functions whose derivative has positive real part in domain D.
Subject
General Physics and Astronomy
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