Abstract
In this paper, a new subclass of harmonic univalent functions in the unit disk
:
1
U
z
C
z
=
is introduced using a differential
operator. Also the coefficient estimates, convolution conditions, extreme points and convex combinations are obtained.
Results & Lemmas (3)
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Theorem 2.1
Theorem 2.1: Let f h g = + be given by (1.1). If 2 1 [( 1)( ) ] [( ) (1 )((
Theorem 2.1: Let f h g = + be given by (1.1). If 2 1 [( 1)( ) ] [( ) (1 )((
Theorem 2.2
Theorem 2.2: Let n n f h g = + be given by (1.4). Then (,,,,, ) H
Theorem 2.2: Let n n f h g = + be given by (1.4). Then ( , , , , , ) H
Theorem 3.1
Theorem 3.1: For 0,n N , 0 ,,, 0, 0 w w
Theorem 3.1: For 0 ,n N , 0 , , , 0, 0 w w
Definitions (1)
Def 1.1
Definition 1.1: We define a new subclass (,,,,, ) H B n w
Definition 1.1: We define a new subclass ( , , , , , ) H B n w
Function classes studied:
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