不同 发表于 2025-3-21 18:12:57

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量被毁坏 发表于 2025-3-21 22:19:10

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搏斗 发表于 2025-3-22 04:13:25

The Heine Transformation,E. Heine , was the first to generalize Gauss’s hypergeometric series to .-hypergeometric series by defining, for ., ., where . and where, for each nonnegative integer ., ..

Anecdote 发表于 2025-3-22 05:26:50

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掺和 发表于 2025-3-22 10:01:49

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初次登台 发表于 2025-3-22 16:16:24

Well-Poised Series,Among Ramanujan’s most far-reaching and striking discoveries are the Rogers–Ramanujan identities, given for . by , . and . In the lost notebook, we find many identities of the Rogers–Ramanujan type; see, for example, Chapter 11 of our first book .

Protein 发表于 2025-3-22 19:52:03

,Bailey’s Lemma and Theta Expansions,Most of the entries to be established in this chapter were originally proved in . That paper appeared before the discoveries presented in were made. It is now possible to present these results in a way that makes clear their relationship to the hierarchy of .-hypergeometric identities growing out of Bailey’s lemma .

Folklore 发表于 2025-3-23 01:08:26

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自负的人 发表于 2025-3-23 04:55:36

Two Letters on Eisenstein Series Written from Matlock House,As we mentioned in Chapter 11, in their last joint paper, G.H. Hardy and Ramanujan , established the following remarkable formula for the coefficients of 1/...Then,

Trigger-Point 发表于 2025-3-23 05:38:12

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查看完整版本: Titlebook: Ramanujan‘s Lost Notebook; Part II George E. Andrews,Bruce C. Berndt Book 2009 Springer-Verlag New York 2009 Invariant.approximation.ellipt