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

Voir la notice de l'article provenant de la source Cambridge University Press

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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[1] 1. Abel, N. H., Oeuvres complètes, Vol. 1, p. 102. Google Scholar

[2] 2. Gould, H., Final Analysis of Vandermondes formula, Amer. Math. Monthly, Vol. 64(1957), pp. 409–415. Google Scholar

[3] 3. Birnbaum, Z. W. and Pyke, R., Annals of Math. Stat., Vol. 29 (1958), pp. 179–187. Google Scholar

[4] 4. Bromwich I' A, T.J., Introduction to the theory of infinite series. Google Scholar

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