Abel's binomial theorem, named for Niels Henrik Abel, is a combinatorial identity involving sums of binomial coefficients paired with power terms. It expresses a particular weighted sum over binomial coefficients as a simplified closed-form expression, giving a compact formula that ties binomial coefficients and exponential-style terms together within a single identity. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/
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Source Wolfram MathWorld: Abel's Binomial Theorem
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1. Abel's binomial theorem (Wikipedia)
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Abel's binomial theorem, named after Niels Henrik Abel, is a mathematical identity involving sums of binomial coefficients.
In Group: Enumerative, Additive and Algebraic Combinatorics, Lead
Abel's binomial theorem, named after Niels Henrik Abel, is a mathematical identity involving sums of binomial coefficients.
View the SourceWolfram MathWorld: Abel's Binomial Theorem
Wolfram MathWorldIn Branch: Combinatorics, Subject classificationsQuote, In Branch: Combinatorics, Subject classifications
Discrete Mathematics Combinatorics
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