Results 1 to 10 of about 186 (152)
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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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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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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Sharp inequalities for coherent states and their optimizers
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.
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A Flexible Extended Krylov Subspace Method for Approximating Markov Functions of Matrices
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
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On Row Sequences of Hermite–Padé Approximation and Its Generalizations
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
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Approximation of Analytic Functions by Universal Vallee-Poussin Sums on the Chebyshev Polynomials
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
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Asymptotic distribution of traces of singular moduli
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
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Effectiveness of transposed inverse sets in faber regions
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
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On the Coefficient Problem of Meromorphic Harmonic Mappings
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
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