Results 1 to 10 of about 186 (152)

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

open access: yesMathematics, 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
doaj   +3 more sources

Generalizing Certain Analytic Functions Correlative to the n-th Coefficient of Certain Class of Bi-Univalent Functions

open access: yesJournal 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

New Applications of Faber Polynomials and q-Fractional Calculus for a New Subclass of m-Fold Symmetric bi-Close-to-Convex Functions

open access: yesAxioms, 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
doaj   +1 more source

Sharp inequalities for coherent states and their optimizers

open access: yesAdvanced Nonlinear Studies, 2023
We are interested in sharp functional inequalities for the coherent state transform related to the Wehrl conjecture and its generalizations. This conjecture was settled by Lieb in the case of the Heisenberg group, Lieb and Solovej for SU(2), and Kulikov ...
Frank Rupert L.
doaj   +1 more source

A Flexible Extended Krylov Subspace Method for Approximating Markov Functions of Matrices

open access: yesMathematics, 2023
A flexible extended Krylov subspace method (F-EKSM) is considered for numerical approximation of the action of a matrix function f(A) to a vector b, where the function f is of Markov type.
Shengjie Xu, Fei Xue
doaj   +1 more source

On Row Sequences of Hermite–Padé Approximation and Its Generalizations

open access: yesMathematics, 2020
Hermite−Padé approximation has been a mainstay of approximation theory since the concept was introduced by Charles Hermite in his proof of the transcendence of e in 1873.
Nattapong Bosuwan
doaj   +1 more source

Approximation of Analytic Functions by Universal Vallee-Poussin Sums on the Chebyshev Polynomials

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2018
As it is known, Chebyshev polynomials provide the best uniform approach of a function. They are a special case of Faber polynomials. A. I. Shvay (1973) proved that the Vallee-Poussin sums are the best approach apparatus in comparison with the partial ...
L.K. Dodunova, A.A. Ageikin
doaj   +1 more source

Asymptotic distribution of traces of singular moduli

open access: yesDiscrete Analysis, 2022
Asymptotic distribution of traces of singular moduli, Discrete Analysis 2022:4, 14 pp. This paper concerns the modular $j$-function, a famous function that is fundamental to algebraic number theory and has remarkable connections to other areas of ...
Nickolas Andersen, William Duke
doaj   +1 more source

Effectiveness of transposed inverse sets in faber regions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1983
The effectiveness properties, in Faber regions, of the transposed inverse of a given basic set of polynominals, are investigated in the present paper. A certain inevitable normalizing substitution, is first formulated, to be undergone by the given set to
J. A. Adepoju, M. Nassif
doaj   +1 more source

On the Coefficient Problem of Meromorphic Harmonic Mappings

open access: yesDemonstratio Mathematica, 2014
In this paper, we shall study estimates for the coefficients an, n = 1,2 of a class of univalent harmonic mappings defined on the exterior of the unit disk Ũ = { z : |z| > 1 }, which keep infinity fixed.
Widomski Jarosław
doaj   +1 more source

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