HANKEL DETERMINANTS OF FACTORIAL FRACTIONS

Author:

CHU WENCHANGORCID

Abstract

AbstractBy 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 numbers and a Hankel determinant evaluation’, Integral Transforms Spec. Funct.30(7) (2019), 581–593].

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Inverses and determinants of three classes of Hankel matrices;Bulletin of the Belgian Mathematical Society - Simon Stevin;2024-07-06

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