Geodesic
A Family of Combinatorial Identities
Canadian mathematical bulletin, Tome 15 (1972) no. 1, pp. 11-18

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In a recent paper, Murray Eden [5] generalized the simple identity for the Eulerian product, 1.1 and obtained the following infinite family of identities:For A= 1,2, 3,..., let 1.2 where we assume throughout that |x| < 1, empty products equal unity and empty sums equal zero; then 1.3 As Eden noted, F h (b;x) is the generating function of p h (m, n) which denotes the number of partitions of n into m parts, in which the largest part appears exactly h times and all other parts are distinct: 
Andrews, G. E.; Subbarao, M. V.; Vidyasagar, M. A Family of Combinatorial Identities. Canadian mathematical bulletin, Tome 15 (1972) no. 1, pp. 11-18. doi: 10.4153/CMB-1972-003-1
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