On Abel's Binomial Identity
Canadian mathematical bulletin, Tome 7 (1964) no. 2, pp. 301-303

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The identity of Abel [1] [2] we deal with here can be stated in thefollowing form: If n is a positive integer, . (In order that all terms be defined we require a ≠ 0, b ≠ n.) This identity and deductions from it have been very useful in many problems,for instance in mathematical statistics [3]. Usually this identity isestablished by means of the Lagrange - Bűrman theorem [4]. Here we willderive it very simply.
Majindar, Kulendra N. On Abel's Binomial Identity. Canadian mathematical bulletin, Tome 7 (1964) no. 2, pp. 301-303. doi: 10.4153/CMB-1964-030-8
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     title = {On {Abel's} {Binomial} {Identity}},
     journal = {Canadian mathematical bulletin},
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     year = {1964},
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     doi = {10.4153/CMB-1964-030-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1964-030-8/}
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