Results 1 to 10 of about 11,980 (190)
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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Faber polynomial coefficient estimates of bi-univalent functions connected with the $q$-convolution [PDF]
Mathematica Bohemica, 2023 We introduce a new class of bi-univalent functions defined in the open unit disc and connected with a $q$-convolution. We find estimates for the general Taylor-Maclaurin coefficients of the functions in this class by using Faber polynomial expansions and
Sheza M. El-Deeb, Serap Bulut
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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 +2 more
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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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Faber polynomials with common zero [PDF]
Analysis and Mathematical Physics, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
F. G. Abdullayev +2 more
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Explicit Faber Polynomials on Circular Sectors [PDF]
Mathematics of Computation, 1992 We present explicit and precise expressions for the Faber polynomials on circular sectors up to degree 20. The precision is obtained by modifying (and simultaneously speeding up) an algorithm of Coleman and Smith so that an essential part of the Faber polynomials can be represented using only rational numbers.
Gatermann, Karin +2 more
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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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The Faber polynomials for circular sectors [PDF]
Mathematics of Computation, 1987 The Faber polynomials for a region of the complex plane, which are of interest as a basis for polynomial approximation of analytic functions, are determined by a conformal mapping of the complement of that region to the complement of the unit disc. We derive this conformal mapping for a circular sector { z :
Coleman, John P., Smith, Russell A.
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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
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Controlled Loewner-Kufarev Equation Embedded into the Universal Grassmannian [PDF]
, 2020 We introduce the class of controlled Loewner-Kufarev equations and consider aspects of their algebraic nature. We lift the solution of such a controlled equation to the (Sato)-Segal-Wilson Grassmannian, and discuss its relation with the tau-function.
Amaba, Takafumi, Friedrich, Roland
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