Hilbert matrices and formulae with binomials

Abstract

The inverting of Cauchy/Hilbert matrices leads to sum rules with binomials one can find in Knuth [Knuth, D.E., 1997, The Art of Computer Programming. Vol.1: Fundamental Algorithms (Reading MA: Addison–Wesley).]. Generalizations of such formulae are presented here.

Keywords:

• Binomial coefficients
• Combinatorial identities

Additional information

Notes on contributors

K. Rottbrand

Email: [email protected]