Results 21 to 30 of about 140 (94)

The Sharp Upper Bounds of the Hankel Determinant on Logarithmic Coefficients for Certain Analytic Functions Connected with Eight‐Shaped Domains

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
The present study’s intention is to produce exact estimations of some problems involving logarithmic coefficients for functions belonging to the considered subcollection BTsin of the bounded turning class. Furthermore, for the class BTsin, we look into the accurate bounds of the Zalcman inequality, Fekete‐Szegö inequality along with D21,Gg/2 and D22,Gg/
Pongsakorn Sunthrayuth, Naveed Iqbal, Muhammad Naeem, Yousef Jawarneh, Sallieu K. Samura, Mohsan Raza   +5 more
wiley   +1 more source

The Second Hankel Determinant of Logarithmic Coefficients for Starlike and Convex Functions Involving Four‐Leaf‐Shaped Domain

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
In this particular research article, we take an analytic function Q4L=15616+/z+/z5, which makes a four‐leaf‐shaped image domain. Using this specific function, two subclasses, S4L∗ and C4L, of starlike and convex functions will be defined. For these classes, our aim is to find some sharp bounds of inequalities that consist of logarithmic coefficients ...
Azzh Saad Alshehry, Rasool Shah, Abdul Bariq, Sarfraz Nawaz Malik   +3 more
wiley   +1 more source

Fekete-Szegö Inequality for Analytic and Biunivalent Functions Subordinate to Gegenbauer Polynomials

Journal of Function Spaces, 2021
In the present paper, a subclass of analytic and biunivalent functions by means of Gegenbauer polynomials is introduced. Certain coefficients bound for functions belonging to this subclass are obtained.
Ala Amourah, Basem Aref Frasin, Thabet Abdeljawad   +2 more
doaj   +1 more source

Bernardi Integral Operator and Its Application to the Fourth Hankel Determinant

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
In recent years, the theory of operators got the attention of many authors due to its applications in different fields of sciences and engineering. In this paper, making use of the Bernardi integral operator, we define a new class of starlike functions associated with the sine functions.
Abid Khan, Mirajul Haq, Luminiţa-Ioana Cotîrlă, Georgia Irina Oros, Mohammed S. Abdo   +4 more
wiley   +1 more source

Applications of q‐Symmetric Derivative Operator to the Subclass of Analytic and Bi‐Univalent Functions Involving the Faber Polynomial Coefficients

Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022
In this paper, using the basic concepts of symmetric q‐calculus operator theory, we define a symmetric q‐difference operator for m‐fold symmetric functions. By considering this operator, we define a new subclass ℛb(φ, m, q) of m‐fold symmetric bi‐univalent functions in open unit disk U. As in applications of Faber polynomial expansions for fm ∈ ℛb(φ, m,
Mohammad Faisal Khan, Shahid Khan, Nazar Khan, Jihad Younis, Bilal Khan, Muhammad Rashid   +5 more
wiley   +1 more source

Fekete–Szegö Problems for Certain Classes of Meromorphic Functions Involving q‐Al‐Oboudi Differential Operator

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
In this paper, we introduce a new derivative operator involving q‐Al‐Oboudi differential operator for meromorphic functions. By using this new operator, we define a new subclass of meromorphic functions and obtain the Fekete–Szegő inequalities.
M.K. Aouf, Fatma Z. El-Emam, Xiaolong Qin   +2 more
wiley   +1 more source

Hankel and Symmetric Toeplitz Determinants for a New Subclass of q-Starlike Functions

Fractal and Fractional, 2022
This paper considers the basic concepts of q-calculus and the principle of subordination. We define a new subclass of q-starlike functions related to the Salagean q-differential operator.
Isra Al-shbeil, Jianhua Gong, Shahid Khan, Nazar Khan, Ajmal Khan, Mohammad Faisal Khan, Anjali Goswami   +6 more
doaj   +1 more source

On Certain Class of Bazilevič Functions Associated with the Lemniscate of Bernoulli

Journal of Function Spaces, 2020
Making use of the principle of subordination, we introduce a certain class of multivalently Bazilevic˘ functions involving the Lemniscate of Bernoulli.
Tamer M. Seoudy, Amnah E. Shammaky
doaj   +1 more source

Coefficient Estimates for Bi-Univalent Functions in Connection with Symmetric Conjugate Points Related to Horadam Polynomial

Mathematics, 2020
In the current study, we construct a new subclass of bi-univalent functions with respect to symmetric conjugate points in the open disc E, described by Horadam polynomials. For this subclass, initial Maclaurin coefficient bounds are acquired.
S. Melike Aydoğan, Zeliha Karahüseyin
doaj   +1 more source

Fekete–Szegö Functional Problem for a Special Family of m-Fold Symmetric Bi-Univalent Functions

Mathematics, 2022
In the current work, we introduce a special family of the function family of analytic and m-fold symmetric bi-univalent functions and obtain estimates of the Taylor–Maclaurin coefficients |dm+1| and |d2m+1| for functions in the special family.
Sondekola Rudra Swamy, Basem Aref Frasin, Ibtisam Aldawish   +2 more
doaj   +1 more source