Results 151 to 160 of about 201 (176)

Certain subclasses of harmonic univalent functions

2002
The authors introduce the class \(\text{SH}(\lambda,\alpha)\) of univalent harmonic and sense preserving mappings in the unit disc. Among others, they give some distortion inequalities and the extreme points in the class \(\text{SH}(\lambda, \alpha)\). For a given \(f(z)= z+\sum^\infty_{n=2} a_nz^n+ \overline{\sum^\infty_{n=1} b_nz^n}\), let us define \
Yalçın Tokgöz, Sibel, Öztürk, Metin
openaire   +2 more sources

On the subclass of Salagean-type harmonic univalent functions

2007
Let \(\Delta\) be the complex unit disc and let \(\mathcal A\) and \(\mathcal B\) be the classes of analytic functions in \(\Delta\) and normalized by \(f(0)=f'(0)-1=0\), and, respectively \(f(0)=0, | f'(0)|
Yalçın Tokgöz, Sibel, Yamankaradeniz, Mümin, Öztürk, Metin   +2 more
openaire   +2 more sources

A Special Class of Harmonic Univalent Functions

Sarajevo Journal of Mathematics
We define and investigate a special class of Salagean-type harmonic univalent functions in the open unit disk. We obtain coefficient conditions, extreme points, distortion bounds, convex combinations for the above class of harmonic univalent functions.   2000 Mathematics Subject Classification.
Tuğba Gencel, Sibel Yalçin
openaire   +1 more source

A subclass of harmonic univalent functions defined by subordination

2019
Summary: In this article, we introduced and defined a new class of harmonic functions by use of a subordination. We find necessary and sufficient conditions, distortion bounds, radii of starlikeness and convexity, compactness and extreme points for above class of harmonic functions.
Bayram, Hasan, Yalçın Tokgöz, Sibel
openaire   +2 more sources

Some subclasses of harmonic univalent functions

2012
Let \(U\) be the unit disc of the complex plane. In this paper the author studies the class \(H_k\) consisting of all harmonic functions \(f(z)=z+\sum_{n=2}^{\infty}a_nz^n+\sum_{n=1}^{\infty}a_{-n}\bar{z}^n\) on \(U\) which satisfy the condition \(\sum_{2}^{\infty}n^k(|a_n|+|a_{-n}|) \leq 1-|a_{-1}|\), \(k\in {\mathbb Z}^{+}\), \(|a_{-1}|
openaire   +2 more sources

q-Analogue of a New Subclass of Harmonic Univalent Functions Associated with Subordination

Symmetry, 2022
Hasan Bayram
exaly  

A SUBCLASS OF HARMONIC UNIVALENT FUNCTIONS

Far East Journal of Mathematical Sciences (FJMS), 2015
Rabha W. Ibrahim, M. Z. Ahmad, Hiba F. Al-Janaby   +2 more
openaire   +1 more source

Improved Bohr inequalities for certain class of harmonic univalent functions

Complex Variables and Elliptic Equations, 2023
Molla Basir Ahamed, Vasudevarao Allu, Himadri Halder   +2 more
exaly  

A SUBCLASS OF GENERALIZED HARMONIC UNIVALENT FUNCTIONS

i-manager’s Journal on Mathematics, 2021
K. V. SITAVANI, V. SRINIVAS
openaire   +1 more source

Weak subordination for convex univalent harmonic functions

Journal of Mathematical Analysis and Applications, 2008
Stacey Muir
exaly