The Binomial Coefficient as an (In)finite Sum of Sinc Functions

نویسندگان

چکیده

In this article, we give a formula for the generalization of binomial coefficient to complex numbers as linear combination sinc functions. We then general compute integral on real line product and given function, which, in some cases, turns out be equal series their values integers. Finally, establish list identities obtained by applying these formulas.

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ژورنال

عنوان ژورنال: American Mathematical Monthly

سال: 2022

ISSN: ['1930-0972', '0002-9890']

DOI: https://doi.org/10.1080/00029890.2022.2094675