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HANKEL DETERMINANTS OF FACTORIAL FRACTIONS
Published online by Cambridge University Press: 07 June 2021
Abstract
By 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].
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- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 105 , Issue 1 , February 2022 , pp. 46 - 57
- Copyright
- © 2021 Australian Mathematical Publishing Association Inc.