A new approach for proving or generating combinatorial identities

• Autores: Luis González
• Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 41, Nº. 3, 2010, págs. 359-372
• Idioma: inglés
• DOI: 10.1080/00207390903398382
• Texto completo no disponible (Saber más ...)
• Resumen

  • A new method for proving, in an immediate way, many combinatorial identities is presented. The method is based on a simple recursive combinatorial formula involving n + 1 arbitrary real parameters. Moreover, this formula enables one not only to prove, but also generate many different combinatorial identities (not being required to know them a priori), simply by assigning adequate values to those parameters. The identities all flow swiftly from one simple theorem and the presentation is self-contained.