Affiliation:
1. M. P. University of Agriculture and Technology , Udaipur , India
2. Faculty of Mathematics and Natural Sciences , University of Rzeszów , Poland
Abstract
Abstract
The purpose of this paper is to introduce a class of functions ℱλ, λ ∈ [0, 1], consisting of analytic functions f normalized by f(0) = f´(0) − 1 = 0 in the open unit disk U which satisfies the subordination condition that
z
f
′
(
z
)
/
{
(
1
-
λ
)
f
(
z
)
+
λ
z
}
≺
q
(
z
)
,
z
∈
𝕌
,
$${\rm{z}}f'\left( {\rm{z}} \right)/\left\{ {\left( {1 - \lambda } \right){\rm{f}}\left( {\rm{z}} \right) + \lambda {\rm{z}}} \right\} \prec {\rm{q}}\left( {\rm{z}} \right),\,\,\,\,\,{\rm{z}} \in {\rm{\mathbb{U},}}$$
where
q
(
z
)
=
1
+
z
2
+
z
${\rm{q}}\left( {\rm{z}} \right) = \sqrt {1 + {{\rm{z}}^{\rm{2}}}} + {\rm{z}}$
. Some basic properties (including the radius of convexity) are obtained for this class of functions.
Cited by
16 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献