scholarly journals Toeplitz Determinant for a Subclass of Tilted Starlike Functions with Respect to Conjugate Points

2021 ◽  
Vol 50 (12) ◽  
pp. 3745-3751
Author(s):  
Nur Hazwani Aqilah Abdul Wahid ◽  
Daud Mohamad
Keyword(s):  
Starlike Functions ◽  
Conjugate Points ◽  
Toeplitz Determinant

scholarly journals Third-Order Hankel and Toeplitz Determinants for Starlike Functions Connected with the Sine Function

Mathematics ◽  
2019 ◽  
Vol 7 (5) ◽  
pp. 404 ◽  
Author(s):  
Hai-Yan Zhang ◽  
Rekha Srivastava ◽  
Huo Tang
Keyword(s):  
Starlike Functions ◽  
Function Class ◽  
Open Unit ◽  
Sine Function ◽  
Hankel Determinant ◽  
Third Order ◽  
Toeplitz Determinants ◽  
The Third ◽  
Toeplitz Determinant ◽  
The Right

Let S s * be the class of normalized functions f defined in the open unit disk D = { z : | z | < 1 } such that the quantity z f ′ ( z ) f ( z ) lies in an eight-shaped region in the right-half plane and satisfying the condition z f ′ ( z ) f ( z ) ≺ 1 + sin z ( z ∈ D ) . In this paper, we aim to investigate the third-order Hankel determinant H 3 ( 1 ) and Toeplitz determinant T 3 ( 2 ) for this function class S s * associated with sine function and obtain the upper bounds of the determinants H 3 ( 1 ) and T 3 ( 2 ) .

scholarly journals Hankel and Toeplitz determinant for a subclass of multivalent $ q $-starlike functions of order $ \alpha $

2021 ◽  
Vol 6 (6) ◽  
pp. 5421-5439
Author(s):  
Huo Tang ◽  
◽  
Shahid Khan ◽  
Saqib Hussain ◽  
Nasir Khan ◽  
...  
Keyword(s):  
Starlike Functions ◽  
Toeplitz Determinant

scholarly journals Some properties of starlike functions with respect to symmetric-conjugate points

1995 ◽  
Vol 18 (3) ◽  
pp. 469-474 ◽  
Author(s):  
Hassoon Al-Amiri ◽  
Dan coman ◽  
Petru T. Mocanu
Keyword(s):  
Integral Operator ◽  
Unit Disk ◽  
Analytic Functions ◽  
Starlike Functions ◽  
Conjugate Points ◽  
Sufficient Condition

LetAbe tile class of all analytic functions in the unit diskUsuch thatf(0)=f′(0)−1=0. A functionf∈Ais called starlike with respect to2nsymmetric-conjugate points ifRezf′(z)/fn(z)>0forz∈U, wherefn(z)=12n∑k=0n−1[ω−kf(ωkz)+ωkf(ωkz˜)¯],ω=exp(2πi/n]. This class is denoted bySn*, and was studied in [1]. A sufficient condition for starlikeness with respect to symmetric-conjugate points is obtained. In addition, images of some subclasses ofSn*under the integral operatorI:A→A,I(f)=FwhereF(z)=c+1(g(z))c∫0zf(t)(g(t))c−1g′(t)dt,   c>0andg∈Ais given are determined.

scholarly journals Fourth Toeplitz Determinants for Starlike Functions Defined by Using the Sine Function

2021 ◽  
Vol 2021 ◽  
pp. 1-7
Author(s):  
Hai-Yan Zhang ◽  
Huo Tang
Keyword(s):  
Starlike Functions ◽  
Function Class ◽  
Upper Bounds ◽  
Sine Function ◽  
Toeplitz Determinants ◽  
Toeplitz Determinant

In this article, we aim to study the upper bounds of the fourth Toeplitz determinant T 4 2 for the function class S s ∗ , which are connected with the sine function.

scholarly journals Subclasses of analytic functions with respect to symmetric and conjugate points

2011 ◽  
Vol 42 (1) ◽  
pp. 87-94
Author(s):  
C. Selvaraj ◽  
N. Vasanthi
Keyword(s):  
Analytic Functions ◽  
Starlike Functions ◽  
Conjugate Points ◽  
Coefficient Estimates ◽  
Convex And Starlike Functions

In this paper, we introduce new subclasses of convex and starlike functions with respect to other points. The coefficient estimates for these classes are obtained.

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