Abstract
It is well known that inversion techniques have an important role in the development of combinatorial identities. In 1973, Gould and Hsu[8] gave a pair of surprising inverse series relations. Combing Gould-Hsu inversions just mentioned with Vandermonde’s formula, four known terminating 4F3 −series identities are recovered. In addition, new proofs for two extensions of q-Chu-Vandermonde identity due to Fang[6] and two formulae on Stirling numbers of the second kind due to Chu and Wei[4] are also offered by means of combinatorial techniques.
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Wei, C., Wang, L. (2012). New Proofs for Several Combinatorial Identities. In: Li, Z., Li, X., Liu, Y., Cai, Z. (eds) Computational Intelligence and Intelligent Systems. ISICA 2012. Communications in Computer and Information Science, vol 316. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34289-9_4
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DOI: https://doi.org/10.1007/978-3-642-34289-9_4
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