Results 1 to 10 of about 32,486 (162)

Coefficients of a Comprehensive Subclass of Meromorphic Bi-Univalent Functions Associated with the Faber Polynomial Expansion [PDF]

Axioms, 2021
In this paper, we introduce a new comprehensive subclass ΣB(λ,μ,β) of meromorphic bi-univalent functions in the open unit disk U. We also find the upper bounds for the initial Taylor-Maclaurin coefficients |b0|, |b1| and |b2| for functions in this ...
Hari Mohan Srivastava, Ahmad Motamednezhad, Safa Salehian   +2 more
doaj   +3 more sources

Some New Applications of the Faber Polynomial Expansion Method for Generalized Bi-Subordinate Functions of Complex Order γ Defined by q-Calculus

Fractal and Fractional, 2023
This work examines a new subclass of generalized bi-subordinate functions of complex order γ connected to the q-difference operator. We obtain the upper bounds ρm for generalized bi-subordinate functions of complex order γ using the Faber polynomial ...
Mohammad Faisal Khan, Mohammed AbaOud
doaj   +3 more sources

New Applications of Faber Polynomial Expansion for Analytical Bi-Close-to-Convex Functions Defined by Using q-Calculus

Mathematics, 2023
In this investigation, the q-difference operator and the Sălăgean q-differential operator are utilized to establish novel subclasses of analytical bi-close-to-convex functions.
Ridong Wang, Manoj Singh, Shahid Khan, Huo Tang, Mohammad Faisal Khan, Mustafa Kamal   +5 more
doaj   +2 more sources

Faber polynomial expansion for a new subclass of bi-univalent functions endowed with (p,q)- calculus operators

Fundamental Journal of Mathematics and Applications, 2021
In this paper, we use the Faber polynomial expansion techniques to get the general Taylor-Maclaurin coefficient estimates for $|a_n|,\ (n\geq 4)$ of a generalized class of bi-univalent functions by means of $(p,q)-$calculus, which was introduced by Chakrabarti and Jagannathan.
O. Ahuja, A. Çetinkaya
semanticscholar   +6 more sources

Coefficient Estimates for Certain Families of Analytic Functions Associated with Faber Polynomial

Journal of Function Spaces, 2023
In this paper, we use the Faber polynomial expansion to obtain bounds for the general coefficients an of bi-univalent functions in the family of analytic functions in the open unit disk.
Adel A. Attiya, Abeer M. Albalahi, Taher S. Hassan   +2 more
doaj   +2 more sources

The Faber polynomial expansion method and the Taylor-Maclaurin coefficient estimates of Bi-Close-to-Convex functions connected with the q-convolution

Mathematics, 2020
In this paper, we introduce a new class of analytic and bi-close-to-convex functions connected with q-convolution, which are defined in the open unit disk.
H. Srivastava, S. El-Deeb
semanticscholar   +5 more sources

Certain New Applications of Faber Polynomial Expansion for a New Class of bi-Univalent Functions Associated with Symmetric q-Calculus

Symmetry, 2023
In this study, we applied the ideas of subordination and the symmetric q-difference operator and then defined the novel class of bi-univalent functions of complex order γ.
Chetan Swarup
semanticscholar   +2 more sources

Certain new applications of Faber polynomial expansion for some new subclasses of $ \upsilon $-fold symmetric bi-univalent functions associated with $ q $-calculus

AIMS Mathematics, 2023
In this article, we define the $ q $-difference operator and Salagean $ q $-differential operator for $ \upsilon $-fold symmetric functions in open unit disk $ \mathcal{U} $ by first applying the concepts of $ q $-calculus operator theory.
Mohammad Faisal Khan
semanticscholar   +3 more sources

The Faber polynomial expansion method and its application to the general coefficient problem for some subclasses of bi-univalent functions associated with a certain q-integral operator [PDF]

Studia Universitatis Babes-Bolyai Matematica, 2018
In our present investigation, we first introduce several new subclasses of analytic and bi-univalent functions by using a certain $q$-integral operator in the open unit disk $$\mathbb{U}=\{z: z\in \mathbb{C} \quad \text{and} \quad \left \vert z\right ...
H. Srivastava, Shahid Khan, Q. Ahmad, N. Khan, S. Hussain   +4 more
semanticscholar   +2 more sources

Series of sums of products of higher-order Bernoulli functions [PDF]

Journal of Inequalities and Applications, 2017
It is shown in a previous work that Faber-Pandharipande-Zagier’s and Miki’s identities can be derived from a polynomial identity, which in turn follows from the Fourier series expansion of sums of products of Bernoulli functions.
Taekyun Kim, Dae San Kim, Gwan-Woo Jang, Jongkyum Kwon   +3 more
doaj   +2 more sources