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The Language of Finite Differences, to the Shannon-Nyquist sampling theorem. Finally, we derive many identities that relate to the Euler constant, the Riemann zeta function, the Gregory coefficients, and the Cauchy coefficients, among others.Onerous 发表于 2025-3-22 12:24:56
Book 2018 the literature by unifying and extending disparate historical results. It also presents new material that has not been published before. Importantly, it shows how the study of fractional finite sums benefits from and contributes to many areas of mathematics, such as divergent series, numerical inteCustodian 发表于 2025-3-22 13:48:07
Introduction,tend the domains of existing systems and operations consistently, while still preserving as many prior results as possible. In this chapter, we look into the question of how to generalize discrete finite sums and products from the set of integers into the entire complex plane, which give rise to theindicate 发表于 2025-3-22 20:43:20
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Analytic Summability Theory,nce. It addresses methods of assigning natural values to divergent sums, whose prototypical examples include the Abel summation method, the Cesaro means, and the Borel summability method. As will be established in subsequent chapters, the theory of summability of divergent series is intimately conne切割 发表于 2025-3-23 04:03:26
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