Results 11 to 20 of about 32,486 (162)

Faber Polynomial Coefficient Estimates for Bi-Close-to-Convex Functions Defined by the q-Fractional Derivative

Axioms, 2023
By utilizing the concept of the q-fractional derivative operator and bi-close-to-convex functions, we define a new subclass of A, where the class A contains normalized analytic functions in the open unit disk E and is invariant or symmetric under ...
Hari Mohan Srivastava, Isra Al-Shbeil, Qin Xin, Fairouz Tchier, Shahid Khan, Sarfraz Nawaz Malik   +5 more
doaj   +2 more sources

Faber Polynomial Coefficient Bounds for m-Fold Symmetric Analytic and Bi-univalent Functions Involving q-Calculus

Journal of Function Spaces, 2021
In our present investigation, by applying q-calculus operator theory, we define some new subclasses of m-fold symmetric analytic and bi-univalent functions in the open unit disk U=z∈ℂ ...
Zeya Jia, Shahid Khan, Nazar Khan, Bilal Khan, Muhammad Asif   +4 more
doaj   +2 more sources

Faber Polynomial Coefficient Inequalities for a Subclass of Bi-Close-To-Convex Functions Associated with Fractional Differential Operator

Fractal and Fractional, 2023
In this study, we begin by examining the τ-fractional differintegral operator and proceed to establish a novel subclass in the open unit disk E. The determination of the nth coefficient bound for functions within this recently established class is ...
Ferdous M. O. Tawfiq, Fairouz Tchier, Luminita-Ioana Cotîrlă   +2 more
doaj   +2 more sources

On the orthogonality of Atkin-like polynomials and orthogonal polynomial expansion of generalized Faber polynomials

The Ramanujan Journal, 2023
In this paper, we consider the Atkin-like polynomials that appeared in the study of normalized extremal quasimodular forms of depth 1 on $$SL_{2}(\mathbb {Z})$$ S L 2 ( Z ) by Kaneko and Koike as orthogonal polynomials and clarify their properties. Using
Tomoaki Nakaya
semanticscholar   +3 more sources

New Applications of Faber Polynomials and q-Fractional Calculus for a New Subclass of m-Fold Symmetric bi-Close-to-Convex Functions

Axioms, 2023
Using the concepts of q-fractional calculus operator theory, we first define a (λ,q)-differintegral operator, and we then use m-fold symmetric functions to discover a new family of bi-close-to-convex functions.
Mohammad Faisal Khan, Suha B. Al-Shaikh, Ahmad A. Abubaker, Khaled Matarneh   +3 more
doaj   +2 more sources

Coefficient bounds for M-fold symmetric analytic bi-Bazilevič functions using by Faber polynomial expansion

Creative Mathematics and Informatics, 2020
A function is said to be bi-univalent in the open unit disc D, if both the function f and its inverse are univalent in the unit disc. Besides, a function is said to be bi-Bazilevic̆ in D, if both the function f and its inverse are Bazilevic̆ there.
F. Sakar, H. Güney
semanticscholar   +2 more sources

Faber Polynomial Coefficient Estimates for Bi-Univalent Functions Defined by Using Differential Subordination and a Certain Fractional Derivative Operator

Mathematics, 2020
In this article, we introduce a general family of analytic and bi-univalent functions in the open unit disk, which is defined by applying the principle of differential subordination between analytic functions and the Tremblay fractional derivative ...
Hari M. Srivastava, Ahmad Motamednezhad, Ebrahim Analouei Adegani   +2 more
doaj   +2 more sources

Coefficient bounds for a new subclass of analytic bi-close-to-convex functions by making use of Faber polynomial expansion

TURKISH JOURNAL OF MATHEMATICS, 2017
Summary: Recently, in the literature, we can see quite a few papers about general coefficient bounds for subclasses of bi-univalent functions. However, we can find just a few papers about general coefficient estimates for subclasses of bi-close-to-convex functions.
F. Sakar, H. Güney
semanticscholar   +5 more sources

Faber Polynomial Coefficients and Applications in Analytic Function Class

Journal of Mathematics
Through this paper, by using the subordination definition, the ℘-analogues Cătaş operator I℘nλ,I, complex order, and biunivalent functions with coefficients introduced by Faber polynomial expansion, we introduced the new class S℘,n∗f,λ,I,ξ,α,ϕ.
Samar Mohamed, Fatma Z. El-Emam
doaj   +2 more sources

Faber polynomial coefficient inequalities for bi-Bazilevič functions associated with the Fibonacci-number series and the square-root functions

Journal of Inequalities and Applications
Two new subclasses of the class of bi-Bazilevič functions, which are related to the Fibonacci-number series and the square-root functions, are introduced and studied in this article.
H. M. Srivastava, Shahid Khan, Sarfraz Nawaz Malik, Fairouz Tchier, Afis Saliu, Qin Xin   +5 more
doaj   +2 more sources