This educational article shows the versatility of an 1826 identity due to Niels Hendrik Abel by using it to derive a large number of corollaries, not all of which are particularly well-known. The author thinks that a brief review of what one can do with Abel's identity might be useful.
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Please, cite this online document as:
Sykora S., An Abel's Identity and its Corollaries,
Stan's Library, Vol.V, June 2014, DOI: 10.3247/SL5Math14.004 .