An Abel’s identity and its Corollaries
نویسنده
چکیده
Setting b = 0 in (1) produces the binomial identity (henceforth BI), which explains Abel’s interest in AI as a generalization of the BI. Unfortunately, in later expositions [3, 4], AI is usually presented with the fixed choice b = -1, thus severing the link between the two identities. In (1) the symbols , appearing in the original text were replaced with a, b, respectively, and the current symbols for summation and for combinatorial coefficients are used. Otherwise, (1) respects exactly Abel’s formulation.
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