Results 11 to 20 of about 1,435,629 (148)
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
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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
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A numerical method for the computation of faber polynomials for starlike domains [PDF]
, 1991 We describe a simple numerical process (based on the Theodorsen method for conformal mapping ) for computing approximations to Faber polynomials for starlike ...
Soares, M J +2 more
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Certain class of m-fold functions by applying Faber polynomial expansions [PDF]
Studia Universitatis Babes-Bolyai Matematica, 2021 "In this paper, we introduce new class $\Sigma_{m}(\mu,\lambda,\gamma,\beta)$ of $m$-fold symmetric bi-univalent functions. Furthermore, we use the Faber polynomial expansions to find upper bounds for the general coefficients $|a_{mk+1}|(k \geqq 2)$ of functions in the class $\Sigma_{m}(\mu,\lambda,\gamma,\beta)$. Moreover, we obtain estimates for the
Ahmad Motamednezhad, Safa Salehian
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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 +3 more
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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
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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
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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 +2 more
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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
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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
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