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
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
@article{10_4153_CMB_1964_030_8,
author = {Majindar, Kulendra N.},
title = {On {Abel's} {Binomial} {Identity}},
journal = {Canadian mathematical bulletin},
pages = {301--303},
year = {1964},
volume = {7},
number = {2},
doi = {10.4153/CMB-1964-030-8},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1964-030-8/}
}
Cité par Sources :