Faber Polynomial Coefficient Estimates of Bi-Close-to-Convex Functions Associated with Generalized Hypergeometric Functions [PDF]
Mathematics, 2022 A new subclass of bi-close-to-convex functions associated with the generalized hypergeometric functions defined in ∆={z∈C:|z|
Jie Zhai, Rekha Srivastava, Jin-Lin Liu
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Faber Polynomial Coefficients of Classes of Meromorphic Bistarlike Functions [PDF]
International Journal of Mathematics and Mathematical Sciences, 2015 Applying the Faber polynomial coefficient expansions to certain classes of meromorphic bistarlike functions, we demonstrate the unpredictability of their early coefficients and also obtain general coefficient estimates for such functions subject to a ...
Jay M. Jahangiri, Samaneh G. Hamidi
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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
Şahsene Altınkaya +2 more
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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 +2 more
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Coefficient Estimation Utilizing the Faber Polynomial for a Subfamily of Bi-Univalent Functions [PDF]
Axioms, 2023 The paper introduces a new family of analytic bi-univalent functions that are injective and possess analytic inverses, by employing a q-analogue of the derivative operator.
Abdullah Alsoboh +5 more
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Coefficient Estimates for New Subclasses of Bi-Univalent Functions with Bounded Boundary Rotation by Using Faber Polynomial Technique [PDF]
AxiomsIn this article, the authors use the Faber polynomial expansions to find the general coefficient estimates for a few new subclasses of bi-univalent functions with bounded boundary rotation and bounded radius rotation.
Huo Tang +2 more
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Faber Polynomial Coefficient Estimates for Bi-Univalent Functions Defined by Using Differential Subordination and a Certain Fractional Derivative Operator [PDF]
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 +2 more
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Modeling of complex physical and biological problems using bi-univalent function calculus [PDF]
Scientific ReportsIn 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 +3 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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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 +3 more
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