Results 1 to 10 of about 1,435,629 (148)

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   +8 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

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. We used the Faber polynomial expansion method to determine the upper bounds for the functions belonging to the newly defined class of complex order γ.
Chetan Swarup
exaly   +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   +3 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

A Subclass of Bi-Univalent Functions Based on the Faber Polynomial Expansions and the Fibonacci Numbers [PDF]

Mathematics, 2019
In this investigation, by using the Komatu integral operator, we introduce the new class of bi-univalent functions based on the rule of subordination. Moreover, we use the Faber polynomial expansions and Fibonacci numbers to derive bounds for the general coefficient of the bi-univalent function class.
Sibel Yalcin, Sahsene Altinkaya, Serkan Cakmak   +2 more
exaly   +4 more sources

Modeling of complex physical and biological problems using bi-univalent function calculus [PDF]

Scientific Reports
In recent years, bi-univalent functions and fractional calculus have attracted considerable attention due to their strong theoretical foundations and potential applications in applied sciences.
Z. M. Saleh, A. O. Mostafa, M. A. Sohaly, S. M. Madian   +3 more
doaj   +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   +3 more sources

On faber polynomials and faber expansions

Mathematische Zeitschrift, 1967
Ch Pommerenke
exaly   +3 more sources

A Subclass of bi-univalent functions by Tremblay differential operator satisfying subordinate conditions [PDF]

Journal of Mahani Mathematical Research, 2023
In this paper, we introduce a newly defined  subclass $\mathcal{S}_{\Sigma}(\vartheta,\gamma,\eta;\varphi) $ of bi-univalent functions by using the Tremblay differential operator satisfying subordinate conditions in the unit disk.
Somayeh Fadaei, Shahram Najafzadeh, Ali Ebadian   +2 more
doaj   +1 more source