Inversion techniques and reciprocal formulae
by Chuanan Wei; Dianxuan Gong
International Journal of Computer Applications in Technology (IJCAT), Vol. 43, No. 2, 2012

Abstract: Combinatorics has an important role in the development of computer science. Combinatorial identity which attracts numerous mathematicians is absolutely an important branch of it. As the effective tools, all kinds of inversion techniques are often used to prove known results and find new identities. In this paper, we shall employ Gould-Hsu inversions and Carlitz inversions to establish several pairs of interesting reciprocal formulae. Meanwhile, 15 three-term transformations for 2φ1− series and the corresponding hypergeometric forms are offered.

Online publication date: Tue, 27-Mar-2012

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