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… Click to show full abstract
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].
Keywords:
hankel determinants;
determinants factorial;
factorial fractions
Journal Title: Bulletin of the Australian Mathematical Society
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!
Journal Title: Bulletin of the Australian Mathematical Society
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!