Results 11 to 20 of about 82 (70)
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 +2 more
doaj +1 more source
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 +4 more
doaj +1 more source
Journal of Mathematics, 2021 In the present paper, the authors implement the two analytic functions with its positive real part in the open unit disk. New types of polynomials are introduced, and by using these polynomials with the Faber polynomial expansion, a formula is structured
Hameed Ur Rehman +2 more
doaj +1 more source
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 +5 more
doaj +1 more source
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.
Şahsene Altınkaya +2 more
openaire +3 more sources
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.
Om P. AHUJA, Asena ÇETİNKAYA
openaire +5 more sources
AIMS Mathematics, 2022 <abstract><p>In this study, by using $ q $-analogue of Noor integral operator, we present an analytic and bi-univalent functions family in $ \mathfrak{D} $. We also derive upper coefficient bounds and some important inequalities for the functions in this family by using the Faber polynomial expansions. Furthermore, some relevant corollaries
Akgül, Arzu, Sakar, F. Muge
openaire +3 more sources
Sums of finite products of Genocchi functions
Advances in Difference Equations, 2017 In a previous work, it was shown that Faber-Pandharipande-Zagier and Miki’s identities can be derived from a polynomial identity which in turn follows from a Fourier series expansion of sums of products of Bernoulli functions.
Taekyun Kim +3 more
doaj +1 more source
Expansion of analytic functions of an operator in series of Faber polynomials [PDF]
Bulletin of the Australian Mathematical Society, 1997 Let T: B → B be a bounded linear operator on the complex Banach space B and let f(z) be analytic on a domain D containing the spectrum Sp(T) of T. Then f(T) is defined bywhere C is a contour surrounding SP(T) and contained in D.
openaire +1 more source
Series of sums of products of higher-order Bernoulli functions
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 +3 more
doaj +1 more source