scholarly journals Subclasses of λ-bi-pseudo-starlike functions with respect to symmetric points based on shell-like curves

Cubo (Temuco) ◽  
2021 ◽  
Vol 23 (2) ◽  
pp. 299-312
Author(s):  
H. Özlem Güney ◽  
G. Murugusundaramoorthy ◽  
K. Vijaya
Keyword(s):  
Starlike Functions ◽  
Symmetric Points

scholarly journals Third Hankel determinant and Zalcman functional for a class of starlike functions with respect to symmetric points related with sine function

2021 ◽  
Vol 25 (01) ◽  
pp. 29-36
Author(s):  
Muhammad Ghaffar Khan ◽  
Bakhtiar Ahmad ◽  
Gangadharan Murugusundaramoorthy ◽  
Wali Khan Mashwani ◽  
Sibel Yalçin ◽  
...  
Keyword(s):  
Starlike Functions ◽  
Sine Function ◽  
Hankel Determinant ◽  
Symmetric Points

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.

scholarly journals On $lambda$-Pseudo Bi-Starlike Functions with Respect to Symmetric Points Associated to Shell-Like Curves

2021 ◽  
Vol 45 (01) ◽  
pp. 103-114
Author(s):  
G. MURUGUSUNDARAMOORTHY ◽  
K. VIJAYA ◽  
H. ÖZLEM GÜNEY
Keyword(s):  
Fibonacci Numbers ◽  
Starlike Functions ◽  
Function Class ◽  
Special Cases ◽  
Symmetric Points

In this paper we define a new subclass λ−pseudo bi-starlike functions with respect to symmetric points of Σ related to shell-like curves connected with Fibonacci numbers and determine the initial Taylor-Maclaurin coefficients |a2| and |a3| for f ∈????????ℒs,Σλ(α,˜p (z)). Further we determine the Fekete-Szegö result for the function class ????????ℒs,Σλ(α,˜p (z)) and for special cases, corollaries are stated which some of them are new and have not been studied so far.

scholarly journals On q-analogue of Janowski-type starlike functions with respect to symmetric points

2021 ◽  
Vol 54 (1) ◽  
pp. 37-46
Author(s):  
Muhammad Ghaffar Khan ◽  
Bakhtiar Ahmad ◽  
Raees Khan ◽  
Muhammad Zubair ◽  
Zabidin Salleh
Keyword(s):  
Extreme Point ◽  
Point Theorem ◽  
Starlike Functions ◽  
Circular Domain ◽  
Distortion Theorem ◽  
Geometric Properties ◽  
Coefficient Bounds ◽  
Closure Theorem ◽  
Symmetric Points

Abstract The main objective of the present paper is to define a class of q q -starlike functions with respect to symmetric points in circular domain. Some interesting results of these functions have been evaluated in this article. The sufficiency criteria in the form of convolutions are evaluated. Furthermore, other geometric properties such as coefficient bounds, distortion theorem, closure theorem and extreme point theorem are also obtained for these newly defined functions.

A note on starlike functions associated with symmetric points

2018 ◽  
Vol 29 (5-6) ◽  
pp. 945-953
Author(s):  
F. Al-Sarari ◽  
S. Latha ◽  
B. A. Frasin
Keyword(s):  
Starlike Functions ◽  
Symmetric Points

scholarly journals Starlikeness of Normalized Bessel Functions with Symmetric Points

2021 ◽  
Vol 2021 ◽  
pp. 1-6
Author(s):  
Maryam Nazir ◽  
Syed Zakar Hussain Bukhari ◽  
Imtiaz Ahmad ◽  
Muhammad Ashfaq ◽  
Malik Ali Raza
Keyword(s):  
Differential Equation ◽  
Bessel Functions ◽  
Starlike Functions ◽  
Radius Of Starlikeness ◽  
Bessel Differential Equation ◽  
Symmetric Points

Bessel functions are related with the known Bessel differential equation. In this paper, we determine the radius of starlikeness for starlike functions with symmetric points involving Bessel functions of the first kind for some kinds of normalized conditions. Our prime tool in these investigations is the Mittag-Leffler representation of Bessel functions of the first kind.

scholarly journals FEKETE-SZEGÖ PROBLEM FOR SUBCLASSES OF STARLIKE FUNCTIONS WITH RESPECT TO SYMMETRIC POINTS

2006 ◽  
Vol 43 (3) ◽  
pp. 589-598 ◽  
Author(s):  
T.N. Shanmugam ◽  
C. Ramachandram ◽  
V. Ravichandran
Keyword(s):  
Starlike Functions ◽  
Symmetric Points

scholarly journals Fekete-Szegö Inequalities for Starlike Functions with respect to k-Symmetric Points of Complex Order

2014 ◽  
Vol 2014 ◽  
pp. 1-10
Author(s):  
M. K. Aouf ◽  
R. M. El-Ashwah ◽  
S. M. El-Deeb
Keyword(s):  
Analytic Function ◽  
Fractional Derivatives ◽  
Starlike Functions ◽  
Upper Bounds ◽  
Complex Order ◽  
Symmetric Points

Sharp upper bounds of a3-μa22 for the function fz=z+∑m=2∞amzm belonging to certain subclass of starlike functions with respect to k-symmetric points of complex order are obtained. Also, applications of our results to certain functions defined through convolution with a normalized analytic function are given. In particular, Fekete-Szegö inequalities for certain classes of functions defined through fractional derivatives are obtained.

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