Results 21 to 30 of about 127 (84)

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

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

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

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

New Subclass of Analytic Function Involving q-Mittag-Leffler Function in Conic Domains

Journal of Function Spaces, 2022
In this paper, we formulate the q-analogus of differential operator associated with q-Mittag-Leffler function. By using this newly defined operator, we define a new subclass k−USq,γmα,β, of analytic functions in conic domains.
Saima Noor, Asima Razzaque
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

Consolidation of a Certain Discrete Probability Distribution with a Subclass of Bi‐Univalent Functions Involving Gegenbauer Polynomials

Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022
In this work, we introduce and investigate a new subclass of analytic bi‐univalent functions based on subordination conditions between the zero‐truncated Poisson distribution and Gegenbauer polynomials. More precisely, we will estimate the first two initial Taylor–Maclaurin coefficients and solve the Fekete–Szegö functional problem for functions ...
Ala Amourah, Mohammad Alomari, Feras Yousef, Abdullah Alsoboh, Ismail Shah   +4 more
wiley   +1 more source