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Computational Analysis of SAXS Data Acquisition. [PDF]
J Comput Biol, 2015 Dong H, Kim JS, Chirikjian GS.
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HANKEL DETERMINANTS OF FACTORIAL FRACTIONS
Bulletin of the Australian Mathematical Society, 2021AbstractBy making use of the Cauchy double alternant and the Laplace expansion formula, we establish two closed formulae for the determinants of factorial fractions that are then utilised to evaluate several determinants of binomial coefficients and Catalan numbers, including those obtained recently by Chammam [‘Generalized harmonic numbers, Jacobi ...
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Szegö’s theorem for Hankel determinants
Journal of Mathematical Physics, 1979An analog of Szegö’s formula for asymptotic Töeplitz determinants is proved for Hankel determinants. The proof uses a set of recurrence formulas developed for polynomials orthogonal on a finite segment of the real line and some properties of the Jost function associated with those polynomials.
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Power series expansion of a Hankel determinant
Linear Algebra and its Applications, 2020Abstract In this article, we find a power series expansion for the Hankel determinant whose entries are the moments of a linear functional related to discrete semiclassical orthogonal polynomials. We provide explicit formulas that allow the computation of coefficients to arbitrary order, and give examples for the first few terms in the series.
Diego Dominici, Diego Dominici
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Hankel determinants and meromorphic functions
Mathematika, 1969Let G be a plane domain with ∞ ∊ G. Let E be the compact complement of G and cap E the logarithmic capacity. We shall assume that cap E = 1 and E ⊂ {|Z| ≤ R. Then R ≥ 1, with equality if and only if E is a closed disc.
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