Obstruction 发表于 2025-3-30 11:07:53

Explicit Formulas for Sums of Two and of Four Triangular Numbers,Besides partitions into square numbers, the Ramanujan product formula can also be applied to the study of partitions into sums of two or four triangular numbers. Let us recall the definition of the nth triangular number, introduced in .:

companion 发表于 2025-3-30 15:54:00

-Antiderivative,After studying various applications, let us return to .-calculus. So far, we have talked about quantum differentiation only. What about quantum integration? Let us first consider the .-antiderivative.

trigger 发表于 2025-3-30 16:48:24

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刚开始 发表于 2025-3-30 20:48:32

Victor Kac,Pokman CheungIncludes supplementary material:

繁殖 发表于 2025-3-31 02:44:47

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Axon895 发表于 2025-3-31 07:10:44

https://doi.org/10.1007/978-1-4613-0071-7Derivative; Hypergeometric function; Partition; Quantum Calculus; Quantum Groups; calculus; combinatorics

冷峻 发表于 2025-3-31 09:18:41

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tenosynovitis 发表于 2025-3-31 14:54:41

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枯燥 发表于 2025-3-31 20:15:20

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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