Please use this identifier to cite or link to this item: http://hdl.handle.net/10553/72395
Title: A new approach for proving or generating combinatorial identities
Authors: González Sánchez, Luis 
UNESCO Clasification: 120205 Análisis combinatorio
Keywords: Pascal's triangle
Pascal's formula
Recursive combinatorial formula
Combinatorial identity
Issue Date: 2010
Journal: International Journal of Mathematical Education in Science and Technology 
Abstract: 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.
URI: http://hdl.handle.net/10553/72395
ISSN: 0020-739X
DOI: 10.1080/00207390903398382
Source: International Journal Of Mathematical Education In Science And Technology [ISSN 0020-739X], v. 41 (3), p. 359-372, (2010)
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