centipede 发表于 2025-3-21 18:23:47

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薄荷醇 发表于 2025-3-21 22:58:00

Properties of ,-Binomial Coefficients,cover the ordinary binomial coefficients if we take . → 1, we expect their .-analogues to have similar properties. Firstly, as already remarked in (5.4), . follows exactly the classical result. However, the correspondence is more subtle for another identity of binomial coefficients, the Pascal rule:

很是迷惑 发表于 2025-3-22 02:37:42

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纠缠,缠绕 发表于 2025-3-22 05:43:40

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armistice 发表于 2025-3-22 11:46:53

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过多 发表于 2025-3-22 13:51:48

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pulmonary 发表于 2025-3-22 19:04:26

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cornucopia 发表于 2025-3-23 00:54:33

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有花 发表于 2025-3-23 03:02:21

0172-5939 evelops two types of quantum calculi, the q-calculus and the h-calculus. As this book develops quantum calculus along the lines of traditional calculus, we discover, with a remarkable inevitability, many important notions and results of classical mathematics. This book is written at the level of a f

Deadpan 发表于 2025-3-23 08:36:05

,-Taylor’s Formula for Formal Power Series and Heine’s Binomial Formula,e. It is “formal” because often we do not worry about whether the series converges or not, and we can operate on (for example, differentiate) the series formally. We have to assume . and . to be zero in order to avoid divergence problems. Of course, .(0) = . by definition.
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查看完整版本: Titlebook: Quantum Calculus; Victor Kac,Pokman Cheung Textbook 2002 Victor Kac. 2002 Derivative.Hypergeometric function.Partition.Quantum Calculus.Qu