Results 11 to 20 of about 653 (205)
Hankel determinants for some common lattice paths [PDF]
Advances in Applied Mathematics, 2008 For a single value of $\ell$, let $f(n,\ell)$ denote the number of lattice paths that use the steps $(1,1)$, $(1,-1)$, and $(\ell,0)$, that run from $(0,0)$ to $(n,0)$, and that never run below the horizontal axis. Equivalently, $f(n,\ell)$ satisfies the quadratic functional equation $F(x) = \sum_{n\ge 0}f(n,\ell) x^n = 1+x^{\ell}F(x)+x^2F(x)^2.$ Let ...
Guoce Xin
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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 $ζ(an+b)$ of the Riemann zeta function at positive integers in an arithmetic progression. Our principal result is a Diophantine application of the asymptotics.
Haynes, Alan, Zudilin, Wadim
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The kissing polynomials and their Hankel determinants [PDF]
Transactions of Mathematics and Its Applications, 2021 AbstractIn this paper, we investigate algebraic, differential and asymptotic properties of polynomials $p_n(x)$ that are orthogonal with respect to the complex oscillatory weight $w(x)=\mathrm {e}^{\mathrm {i}\omega x}$ on the interval $[-1,1]$, where $\omega>0$.
Celsus, Andrew +3 more
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Fourth-Order Hankel Determinants and Toeplitz Determinants for Convex Functions Connected with Sine Functions [PDF]
Journal of Mathematics, 2022 This article deals with the upper bound of fourth-order Hankel and Toeplitz determinants for the convex functions which are defined by using the sine function.
Farah Zulfiqar +3 more
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On vector Hankel determinants [PDF]
Linear Algebra and its Applications, 2000 Recently a definition of Hankel determinants \(H^n_k\) with entries in a finite-dimensional real vector space was given in terms of designants and Clifford algebra. Sylvester's identity can still be used for computing these determinants recursively, but the aim of this paper is to present a more efficient method avoiding the use of the Clifford algebra
Salam, A.
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Proof of the Somos-4 Hankel determinants conjecture [PDF]
Advances in Applied Mathematics, 2009 3 ...
Xin, Guoce
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Certain Coefficient Estimate Problems for Three-Leaf-Type Starlike Functions
Fractal and Fractional, 2021 In our present investigation, some coefficient functionals for a subclass relating to starlike functions connected with three-leaf mappings were considered.
Lei Shi +5 more
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Perturbed Hankel determinants [PDF]
Journal of Physics A: Mathematical and General, 2005 10 ...
Basor, Estelle, Chen, Yang
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On Determinant Expansions for Hankel Operators [PDF]
Concrete Operators, 2020 Abstract Let w be a semiclassical weight that is generic in Magnus’s sense, and (
Blower, Gordon, Chen, Yang
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Fourth Hankel Determinant for a Subclass of Starlike Functions Based on Modified Sigmoid
Journal of Function Spaces, 2021 In our present investigation, we obtain the improved third-order Hankel determinant for a class of starlike functions connected with modified sigmoid functions.
Wali Khan Mashwani +6 more
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