CERTAIN SUBCLASSES OF HARMONIC STARLIKE FUNCTIONS

2017 ◽  
Vol 101 (8) ◽  
pp. 1801-1811
Author(s):  
Abdussalam Eghbiq ◽  
Maslina Darus
Keyword(s):  
Starlike Functions ◽  
Harmonic Starlike

A Class of Harmonic Starlike Functions defined by Multiplier Transformation

2020 ◽  
pp. 455-469
Author(s):  
Deepali Khurana ◽  
Raj Kumar ◽  
Sibel Yalcin
Keyword(s):  
Convex Combination ◽  
Univalent Functions ◽  
Extreme Points ◽  
Starlike Functions ◽  
Harmonic Mappings ◽  
Distortion Bounds ◽  
Radius Of Convexity ◽  
Univalent Harmonic Mappings ◽  
Harmonic Starlike ◽  
Multiplier Transformation

We define two new subclasses, $HS(k, \lambda, b, \alpha)$ and \linebreak $\overline{HS}(k, \lambda, b, \alpha)$, of univalent harmonic mappings using multiplier transformation. We obtain a sufficient condition for harmonic univalent functions to be in $HS(k,\lambda,b,\alpha)$ and we prove that this condition is also necessary for the functions in the class $\overline{HS} (k,\lambda,b,\alpha)$. We also obtain extreme points, distortion bounds, convex combination, radius of convexity and Bernandi-Libera-Livingston integral for the functions in the class $\overline{HS}(k,\lambda,b,\alpha)$.

scholarly journals On Certain Subclass of Harmonic Starlike Functions

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
A. Y. Lashin
Keyword(s):  
Integral Operator ◽  
Unit Disc ◽  
Univalent Functions ◽  
Extreme Points ◽  
Starlike Functions ◽  
Open Unit ◽  
Open Unit Disc ◽  
New Class ◽  
Distortion Bounds ◽  
Harmonic Starlike

Coefficient conditions, distortion bounds, extreme points, convolution, convex combinations, and neighborhoods for a new class of harmonic univalent functions in the open unit disc are investigated. Further, a class preserving integral operator and connections with various previously known results are briefly discussed.

scholarly journals Harmonic Starlike Functions with Respect to Symmetric Points

Axioms ◽  
2019 ◽  
Vol 9 (1) ◽  
pp. 3 ◽  
Author(s):  
Nak Eun Cho ◽  
Jacek Dziok
Keyword(s):  
Integral Representation ◽  
Starlike Functions ◽  
Coefficient Estimates ◽  
Distortion Theorems ◽  
Harmonic Starlike ◽  
Symmetric Points

In the paper we define classes of harmonic starlike functions with respect to symmetric points and obtain some analytic conditions for these classes of functions. Some results connected to subordination properties, coefficient estimates, integral representation, and distortion theorems are also obtained.

Uniformly harmonic starlike functions of complex order

2017 ◽  
Vol 5 ◽  
pp. 67-74
Author(s):  
Syed Zakar Hussain Bukhari ◽  
Malik Ali Raza ◽  
Bushra Malik
Keyword(s):  
Starlike Functions ◽  
Complex Order ◽  
Harmonic Starlike

scholarly journals Certain subclasses of harmonic starlike functions associated with $q-$ Mittag-Leffler function

2020 ◽  
Vol 8 (3) ◽  
pp. 988-1000
Author(s):  
Jayaraman Sivapalan ◽  
Nanjundan Magesh ◽  
Samy Murthy
Keyword(s):  
Starlike Functions ◽  
Harmonic Starlike

scholarly journals A new subclass of the meromorphic harmonic starlike functions

2010 ◽  
Vol 23 (9) ◽  
pp. 1027-1032 ◽  
Author(s):  
Hakan Bostanci ◽  
Meti̇n Öztürk
Keyword(s):  
Starlike Functions ◽  
Harmonic Starlike

scholarly journals Connecting quantum calculus and harmonic starlike functions

Filomat ◽  
2020 ◽  
Vol 34 (5) ◽  
pp. 1431-1441
Author(s):  
O.P. Ahuja ◽  
A. Çetinkaya
Keyword(s):  
Operator Theory ◽  
Harmonic Functions ◽  
Quantum Physics ◽  
Hypergeometric Series ◽  
Univalent Functions ◽  
Starlike Functions ◽  
Quantum Calculus ◽  
Theory Approximation ◽  
Harmonic Starlike

Quantum calculus or q-calculus plays an important role in hypergeometric series, quantum physics, operator theory, approximation theory, sobolev spaces, geometric functions theory and others. But role of q-calculus in the theory of harmonic univalent functions is quite new. In this paper, we make an attempt to connect quantum calculus and harmonic univalent starlike functions. In particular, we introduce and investigate the properties of q-harmonic functions and q-harmonic starlike functions of order ?.

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