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Published in 2024 at "Mathematics"
DOI: 10.3390/math12162450
Abstract: We offer intriguing new insights into parameterized finite binomial sums, revealing elegant identities such as ∑k=0,k≠nm+n(−1)kn−km+nk=(−1)nm+nn(Hm−Hn), where n,m are non-negative integers and Hn is the harmonic number. These formulas beautifully capture the intricate relationship between…
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Keywords:
finite binomial;
binomial sums;
parameterized finite;