Upper Bound of Second Hankel Determinant for Bi-Bazilevic̆ Functions

2016 ◽  
Vol 13 (6) ◽  
pp. 4081-4090 ◽  
Author(s):  
Şahsene Altınkaya ◽  
Sibel Yalçın
Keyword(s):  
Upper Bound ◽  
Hankel Determinant ◽  
Second Hankel Determinant

scholarly journals Coefficient inequalities for a class of analytic functions associated with the lemniscate of Bernoulli

2018 ◽  
Vol 37 (4) ◽  
pp. 83-95
Author(s):  
Trailokya Panigrahi ◽  
Janusz Sokól
Keyword(s):  
Upper Bound ◽  
Analytic Functions ◽  
Hankel Determinant ◽  
Lemniscate Of Bernoulli ◽  
Toeplitz Determinant ◽  
Second Hankel Determinant ◽  
Coefficient Inequalities ◽  
The Right

In this paper, a new subclass of analytic functions ML_{\lambda}^{*}  associated with the right half of the lemniscate of Bernoulli is introduced. The sharp upper bound for the Fekete-Szego functional |a_{3}-\mu a_{2}^{2}|  for both real and complex \mu are considered. Further, the sharp upper bound to the second Hankel determinant |H_{2}(1)| for the function f in the class ML_{\lambda}^{*} using Toeplitz determinant is studied. Relevances of the main results are also briefly indicated.

scholarly journals Second Hankel determinant for certain class of bi-univalent functions defined by Chebyshev polynomials

2019 ◽  
Vol 12 (02) ◽  
pp. 1950017
Author(s):  
H. Orhan ◽  
N. Magesh ◽  
V. K. Balaji
Keyword(s):  
Unit Disk ◽  
Upper Bound ◽  
Chebyshev Polynomials ◽  
Univalent Functions ◽  
Function Class ◽  
Open Unit ◽  
Open Unit Disk ◽  
Hankel Determinant ◽  
Second Hankel Determinant ◽  
Upper Bound Estimate

In this work, we obtain an upper bound estimate for the second Hankel determinant of a subclass [Formula: see text] of analytic bi-univalent function class [Formula: see text] which is associated with Chebyshev polynomials in the open unit disk.

scholarly journals Study of Second Hankel Determinant for Certain Subclasses of Functions Defined by Al-Oboudi Differential Operator

2020 ◽  
Vol 17 (1(Suppl.)) ◽  
pp. 0353
Author(s):  
K. A. Challab et al.
Keyword(s):  
Differential Operator ◽  
Upper Bound ◽  
Unit Disc ◽  
Hankel Determinant ◽  
Special Cases ◽  
Second Hankel Determinant

The concern of this article is the calculation of an upper bound of second Hankel determinant for the subclasses of functions defined by Al-Oboudi differential operator in the unit disc. To study special cases of the results of this article, we give particular values to the parameters A, B and λ

scholarly journals Upper Bound of Second Hankel determinant for generalized Sakaguchi type spiral-like functions

2017 ◽  
Vol 35 (3) ◽  
pp. 263
Author(s):  
Trailokya Panigrahi
Keyword(s):  
Upper Bound ◽  
Hankel Determinant ◽  
Second Hankel Determinant

In this paper, the authors introduce a generalized Sakaguchi type spiral-likefunction class S(\lambda, \beta, s, t)  and obtain  sharp upper bound to thesecond Hankel determinant |H_{2}(1)| for the function f in the above class.Relevances of the main result are also briefly indicated.

scholarly journals Coefficient Bounds of Kamali-Type Starlike Functions Related with a Limacon-Shaped Domain

2021 ◽  
Vol 2021 ◽  
pp. 1-10
Author(s):  
Gangadharan Murugusundaramoorthy ◽  
Ayesha Shakeel ◽  
Marwan Amin Kutbi
Keyword(s):  
Upper Bound ◽  
Starlike Functions ◽  
Hankel Determinant ◽  
Coefficient Bounds ◽  
Initial Coefficient ◽  
Second Hankel Determinant ◽  
Shaped Domain

In this article, we familiarize a subclass of Kamali-type starlike functions connected with limacon domain of bean shape. We examine certain initial coefficient bounds and Fekete-Szegö inequalities for the functions in this class. Analogous results have been acquired for the functions f − 1 and ξ / f ξ and also found the upper bound for the second Hankel determinant a 2 a 4 − a 3 2 .

HANKEL DETERMINANT FOR CERTAIN SUBCLASS OF ANALYTIC FUNCTIONS ASSOIATED WITH GENERALIZED SRIVASTAVA–ATTIYA OPERATOR

2020 ◽  
Vol 3 (1) ◽  
pp. 1-9
Author(s):  
Somaya Mohammed Alkabaily ◽  
Nagat Muftah Alabbar
Keyword(s):  
Zeta Function ◽  
Upper Bound ◽  
Analytic Functions ◽  
Hankel Determinant ◽  
Lerch Zeta Function ◽  
Second Hankel Determinant

This paper is to introduce a certain class of analytic functions denoted by  which is defined by generalized Srivastava – Attiya operator. This operator is associated with Hurwitz-Lerch Zeta function, obtain an upper bound to the second Hankel determinant  for  the class .

scholarly journals Second Hankel Determinant for a Certain Subclass of Bi-Close to Convex Functions Defined by Kaplan

Symmetry ◽  
2021 ◽  
Vol 13 (4) ◽  
pp. 567
Author(s):  
Stanislawa Kanas ◽  
Pesse V. Sivasankari ◽  
Roy Karthiyayini ◽  
Srikandan Sivasubramanian
Keyword(s):  
Upper Bound ◽  
Convex Functions ◽  
Hankel Determinant ◽  
Second Hankel Determinant ◽  
Upper Bound Estimate

In this paper, we consider the class of strongly bi-close-to-convex functions of order α and bi-close-to-convex functions of order β. We obtain an upper bound estimate for the second Hankel determinant for functions belonging to these classes. The results in this article improve some earlier result obtained for the class of bi-convex functions.

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