Results 11 to 20 of about 8,276 (242)
On Determinant Expansions for Hankel Operators [PDF]
Concrete Operators, 2020 Let w be a semiclassical weight that is generic in Magnus’s sense, and (pn)n=0∞({p_n})_{n = 0}^\infty the corresponding sequence of orthogonal polynomials. We express the Christoffel–Darboux kernel as a sum of products of Hankel integral operators.
Blower Gordon, Chen Yang
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Boundary values of Hankel and Toeplitz determinants for q -convex functions. [PDF]
MethodsXHadi SH +5 more
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Hankel determinants of a Sturmian sequence [PDF]
AIMS Mathematics, 2020 <abstract><p>Let $ \tau $ be the substitution $ 1\to 101 $ and $ 0\to 1 $ on the alphabet $ \{0, 1\} $. The fixed point of $ \tau $ obtained starting from 1, denoted by $ {\bf{s}} $, is a Sturmian sequence. We first give a characterization of $ {\bf{s}} $ using $ f $-representation.
Haocong Song, Wen Wu
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Rational Approximations via Hankel Determinants [PDF]
, 2020 Define the monomials $e_n(x) := x^n$ and let $L$ be a linear functional. In this paper we describe a method which, under specified conditions, produces approximations for the value $L(e_0 )$ in terms of Hankel determinants constructed from the values $L(e_1 )$, $L(e_2 )$, . . . . Many constants of mathematical interest can be expressed as the values of
Timothy Ferguson
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Hankel Determinants of Zeta Values [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2015 We study the asymptotics of Hankel determinants constructed using the values $ (an+b)$ of the Riemann zeta function at positive integers in an arithmetic progression. Our principal result is a Diophantine application of the asymptotics.
Alan Haynes, Wadim Zudilin
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Hankel inequalities for bounded turning functions in the domain of cosine Hyperbolic function
AIMS Mathematics, 2023 In the present article, we define and investigate a new subfamily of holomorphic functions connected with the cosine hyperbolic function with bounded turning.
Muhammmad Ghaffar Khan +5 more
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Perturbed Hankel determinants [PDF]
Journal of Physics A: Mathematical and General, 2005 In this short note, we compute, for large n the determinant of a class of n x n Hankel matrices, which arise from a smooth perturbation of the Jacobi weight. For this purpose, we employ the same idea used in previous papers, where the unknown determinant, D_n[w_{ , }h] is compared with the known determinant D_n[w_{ , }].
Basor, Estelle, Chen, Yang
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Problems concerning sharp coefficient functionals of bounded turning functions
AIMS Mathematics, 2023 The work presented in this article has been motivated by the recent research going on the Hankel determinant bounds and their related consequences, as well as the techniques used previously by many different authors.
Muhammmad Ghaffar Khan +3 more
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Mathematics, 2023 One of the challenging tasks in the study of function theory is how to obtain sharp estimates of coefficients that appear in the Taylor–Maclaurin series of analytic univalent functions, and for obtaining these bounds, researchers used the concepts of ...
Isra Al-Shbeil +4 more
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Sharp bounds of the third Hankel determinant for classes of univalent functions with bounded turning [PDF]
Mathematica Bohemica, 2022 We improve the bounds of the third order Hankel determinant for two classes of univalent functions with bounded turning.
Milutin Obradović +2 more
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