找回密碼
 To register

QQ登錄

只需一步,快速開(kāi)始

掃一掃,訪(fǎng)問(wèn)微社區(qū)

打印 上一主題 下一主題

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

[復(fù)制鏈接]
查看: 42711|回復(fù): 59
樓主
發(fā)表于 2025-3-21 18:12:57 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書(shū)目名稱(chēng)Ramanujan‘s Lost Notebook
副標(biāo)題Part II
編輯George E. Andrews,Bruce C. Berndt
視頻videohttp://file.papertrans.cn/822/821007/821007.mp4
概述Most of this material has never before been published in book form.Authors have organized, and provided commentary on, Ramanujan‘s results.Discusses q-series, Eisenstein series, and theta functions.In
圖書(shū)封面Titlebook: Ramanujan‘s Lost Notebook; Part II George E. Andrews,Bruce C. Berndt Book 2009 Springer-Verlag New York 2009 Invariant.approximation.ellipt
描述This is the second of approximately four volumes that the authors plan to write in their examination of all the claims made by S. Ramanujan in The Lost Notebook and Other Unpublished Papers. This volume, published by Narosa in 1988, contains the “Lost Notebook,” which was discovered by the ?rst author in the spring of 1976 at the library of Trinity College, Cambridge. Also included in this publication are other partial manuscripts, fragments, and letters that Ramanujan wrote to G. H. Hardy from nursing homes during 1917–1919. The authors have attempted to organize this disparate material in chapters. This second volume contains 16 chapters comprising 314 entries, including some duplications and examples, with chapter totals ranging from a high of ?fty-four entries in Chapter 1 to a low of two entries in Chapter 12. Contents Preface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . vii Introduction . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1 The Heine Transformation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 1. 1 Introduction . . . . . .
出版日期Book 2009
關(guān)鍵詞Invariant; approximation; elliptic function; equation; function; identity; theta function; transformation
版次1
doihttps://doi.org/10.1007/b13290
isbn_softcover978-1-4419-2666-1
isbn_ebook978-0-387-77766-5
copyrightSpringer-Verlag New York 2009
The information of publication is updating

書(shū)目名稱(chēng)Ramanujan‘s Lost Notebook影響因子(影響力)




書(shū)目名稱(chēng)Ramanujan‘s Lost Notebook影響因子(影響力)學(xué)科排名




書(shū)目名稱(chēng)Ramanujan‘s Lost Notebook網(wǎng)絡(luò)公開(kāi)度




書(shū)目名稱(chēng)Ramanujan‘s Lost Notebook網(wǎng)絡(luò)公開(kāi)度學(xué)科排名




書(shū)目名稱(chēng)Ramanujan‘s Lost Notebook被引頻次




書(shū)目名稱(chēng)Ramanujan‘s Lost Notebook被引頻次學(xué)科排名




書(shū)目名稱(chēng)Ramanujan‘s Lost Notebook年度引用




書(shū)目名稱(chēng)Ramanujan‘s Lost Notebook年度引用學(xué)科排名




書(shū)目名稱(chēng)Ramanujan‘s Lost Notebook讀者反饋




書(shū)目名稱(chēng)Ramanujan‘s Lost Notebook讀者反饋學(xué)科排名




單選投票, 共有 1 人參與投票
 

1票 100.00%

Perfect with Aesthetics

 

0票 0.00%

Better Implies Difficulty

 

0票 0.00%

Good and Satisfactory

 

0票 0.00%

Adverse Performance

 

0票 0.00%

Disdainful Garbage

您所在的用戶(hù)組沒(méi)有投票權(quán)限
沙發(fā)
發(fā)表于 2025-3-21 22:19:10 | 只看該作者
板凳
發(fā)表于 2025-3-22 04:13:25 | 只看該作者
The Heine Transformation,E. Heine [178], [179, pp. 97–125] was the first to generalize Gauss’s hypergeometric series to .-hypergeometric series by defining, for ., ., where . and where, for each nonnegative integer ., ..
地板
發(fā)表于 2025-3-22 05:26:50 | 只看該作者
5#
發(fā)表于 2025-3-22 10:01:49 | 只看該作者
6#
發(fā)表于 2025-3-22 16:16:24 | 只看該作者
Well-Poised Series,Among Ramanujan’s most far-reaching and striking discoveries are the Rogers–Ramanujan identities, given for . by [241], [31, Chapter 10] . and . In the lost notebook, we find many identities of the Rogers–Ramanujan type; see, for example, Chapter 11 of our first book [31].
7#
發(fā)表于 2025-3-22 19:52:03 | 只看該作者
,Bailey’s Lemma and Theta Expansions,Most of the entries to be established in this chapter were originally proved in [22]. That paper appeared before the discoveries presented in [24] 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 [41, equation (3.1)].
8#
發(fā)表于 2025-3-23 01:08:26 | 只看該作者
9#
發(fā)表于 2025-3-23 04:55:36 | 只看該作者
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 [177], [242, pp. 310–321] established the following remarkable formula for the coefficients of 1/...Then,
10#
發(fā)表于 2025-3-23 05:38:12 | 只看該作者
 關(guān)于派博傳思  派博傳思旗下網(wǎng)站  友情鏈接
派博傳思介紹 公司地理位置 論文服務(wù)流程 影響因子官網(wǎng) 吾愛(ài)論文網(wǎng) 大講堂 北京大學(xué) Oxford Uni. Harvard Uni.
發(fā)展歷史沿革 期刊點(diǎn)評(píng) 投稿經(jīng)驗(yàn)總結(jié) SCIENCEGARD IMPACTFACTOR 派博系數(shù) 清華大學(xué) Yale Uni. Stanford Uni.
QQ|Archiver|手機(jī)版|小黑屋| 派博傳思國(guó)際 ( 京公網(wǎng)安備110108008328) GMT+8, 2025-10-7 17:58
Copyright © 2001-2015 派博傳思   京公網(wǎng)安備110108008328 版權(quán)所有 All rights reserved
快速回復(fù) 返回頂部 返回列表
北安市| 民乐县| 深州市| 贵港市| 永新县| 通河县| 万源市| 龙陵县| 黑山县| 克东县| 嘉义市| 南开区| 崇明县| 江阴市| 吕梁市| 石河子市| 芷江| 西丰县| 通辽市| 白玉县| 阜南县| 中西区| 固原市| 大邑县| 林口县| 镇康县| 苍南县| 遵义市| 阿拉善左旗| 淮阳县| 北辰区| 建瓯市| 景东| 平度市| 堆龙德庆县| 高平市| 璧山县| 青河县| 佛学| 永春县| 田东县|