標題: Titlebook: Ramanujan’s Notebooks; Part V Bruce C. Berndt Book 1998 Springer Science+Business Media, LLC, part of Springer Nature 1998 Finite.Identity. [打印本頁] 作者: hormone-therapy 時間: 2025-3-21 16:12
書目名稱Ramanujan’s Notebooks影響因子(影響力)
作者: 匍匐前進 時間: 2025-3-21 21:09
Bruce C. Berndt internal hyperlinks to definitional entries and current standards. ..Published as a print volume with abundant black and white art, the .Encyclopedia of GIS. will be available simultaneously as an XML online reference with hyperlinked citations, cross-references, four-color art, links to web-based maps, and other interactive features..作者: Charade 時間: 2025-3-22 01:31 作者: 辭職 時間: 2025-3-22 08:00
Bruce C. Berndt internal hyperlinks to definitional entries and current standards. ..Published as a print volume with abundant black and white art, the .Encyclopedia of GIS. will be available simultaneously as an XML online reference with hyperlinked citations, cross-references, four-color art, links to web-based maps, and other interactive features..作者: 治愈 時間: 2025-3-22 08:50
Bruce C. Berndt internal hyperlinks to definitional entries and current standards. ..Published as a print volume with abundant black and white art, the .Encyclopedia of GIS. will be available simultaneously as an XML online reference with hyperlinked citations, cross-references, four-color art, links to web-based maps, and other interactive features..作者: 粘土 時間: 2025-3-22 14:04 作者: Malfunction 時間: 2025-3-22 17:03 作者: 干涉 時間: 2025-3-23 01:06
Bruce C. Berndt internal hyperlinks to definitional entries and current standards. ..Published as a print volume with abundant black and white art, the .Encyclopedia of GIS. will be available simultaneously as an XML online reference with hyperlinked citations, cross-references, four-color art, links to web-based maps, and other interactive features..作者: 雄辯 時間: 2025-3-23 03:13 作者: 使高興 時間: 2025-3-23 05:51
Bruce C. Berndt internal hyperlinks to definitional entries and current standards. ..Published as a print volume with abundant black and white art, the .Encyclopedia of GIS. will be available simultaneously as an XML online reference with hyperlinked citations, cross-references, four-color art, links to web-based maps, and other interactive features..作者: 音的強弱 時間: 2025-3-23 10:11
internal hyperlinks to definitional entries and current standards. ..Published as a print volume with abundant black and white art, the .Encyclopedia of GIS. will be available simultaneously as an XML online reference with hyperlinked citations, cross-references, four-color art, links to web-based maps, and other interactive features..作者: 緩解 時間: 2025-3-23 15:51 作者: indoctrinate 時間: 2025-3-23 20:12 作者: 愛得痛了 時間: 2025-3-24 01:00 作者: 古文字學(xué) 時間: 2025-3-24 05:32 作者: Forsake 時間: 2025-3-24 07:23 作者: sebaceous-gland 時間: 2025-3-24 11:37 作者: employor 時間: 2025-3-24 18:03 作者: xanthelasma 時間: 2025-3-24 21:29
,Modular Equations and Theta—Function Identities in Notebook 1, modular equations, and, as the content of Chapters 34 and 35 makes manifest, he found many applications of these equations. Thus, it is surprising that the first notebook contains several dozen modular equations that he failed to record in his second notebook. Some of these are easy to prove with t作者: Blood-Clot 時間: 2025-3-25 02:40
Infinite Series,anized material found in these two notebooks. In this chapter, we primarily focus on exact formulas, while in Chapter 38 our attention is given to approximations and asymptotic formulas. In Part IV [4], we had disengaged Ramanujan’s results on special functions, partial fraction decompositions, and 作者: Chronological 時間: 2025-3-25 06:47
Approximations and Asymptotic Expansions, analysis. Asymptotic formulas, both general and specific, can be found in several places in his second notebook, but perhaps the largest concentration lies in Chapter 13. Several contributions pertain to hypergeometric functions, and an excellent survey of several of these results has been made by 作者: 坦白 時間: 2025-3-25 09:36 作者: armistice 時間: 2025-3-25 14:47
Infinite Series,elementary and miscellaneous analysis from the material on infinite series, and devoted individual chapters to these three topics. Although those three chapters contain a couple of gems, Chapters 37 and 38 have many more jewels.作者: Spangle 時間: 2025-3-25 16:30
Approximations and Asymptotic Expansions,R. J. Evans [1]. The unorganized pages in the second and third notebooks also contain many beautiful theorems in asymptotic analysis. This chapter is devoted to proving these theorems and a few approximations as well.作者: grenade 時間: 2025-3-25 22:55
lts had already been published by others, most had not. Almost a decade after Ramanujan‘s death in 1920, G. N. Watson and B. M. Wilson began to edit Ramanujan‘s notebooks, but, despite devoting over ten years to this project, they never completed their task. An unedited photostat edition of the note作者: PON 時間: 2025-3-26 01:57 作者: ARY 時間: 2025-3-26 05:09
https://doi.org/10.1007/978-1-4612-1624-7Finite; Identity; Invariant; Ramanujan; average; continued fraction; equation; function; theorem作者: HAWK 時間: 2025-3-26 09:55 作者: CIS 時間: 2025-3-26 16:03
,Ramanujan’s Theories of Elliptic Functions to Alternative Bases,In his famous paper [3], [10, pp. 23–39], Ramanujan offers several beautiful series representations for 1/pi. He first states three formulas, one of which is.where (a)o = 1 and, for each positive integer ...作者: 小木槌 時間: 2025-3-26 17:59 作者: 散開 時間: 2025-3-27 00:17 作者: Regurgitation 時間: 2025-3-27 03:39
Miscellaneous Results in the First Notebook,In this last chapter we collect together some miscellaneous results from the unorganized portions of the first notebook. Most are from analysis, with some pertaining to hypergeometric functions.作者: 深陷 時間: 2025-3-27 09:15 作者: Monolithic 時間: 2025-3-27 10:36
Bruce C. Berndtcally and geographically diverse – ensures balanced coverage.The .Encyclopedia of GIS. features a comprehensive, authoritative treatment of this subject matter, with a simple A-Z format providing easy access to the field. ..Authored and peer-reviewed by world experts, the entries explain the key sof作者: 使人煩燥 時間: 2025-3-27 14:07
Bruce C. Berndtcally and geographically diverse – ensures balanced coverage.The .Encyclopedia of GIS. features a comprehensive, authoritative treatment of this subject matter, with a simple A-Z format providing easy access to the field. ..Authored and peer-reviewed by world experts, the entries explain the key sof作者: prostatitis 時間: 2025-3-27 20:54
Bruce C. Berndtcally and geographically diverse – ensures balanced coverage.The .Encyclopedia of GIS. features a comprehensive, authoritative treatment of this subject matter, with a simple A-Z format providing easy access to the field. ..Authored and peer-reviewed by world experts, the entries explain the key sof作者: 吊胃口 時間: 2025-3-27 22:59
Bruce C. Berndtcally and geographically diverse – ensures balanced coverage.The .Encyclopedia of GIS. features a comprehensive, authoritative treatment of this subject matter, with a simple A-Z format providing easy access to the field. ..Authored and peer-reviewed by world experts, the entries explain the key sof作者: Merited 時間: 2025-3-28 03:23 作者: Eviction 時間: 2025-3-28 07:09
Bruce C. Berndtcally and geographically diverse – ensures balanced coverage.The .Encyclopedia of GIS. features a comprehensive, authoritative treatment of this subject matter, with a simple A-Z format providing easy access to the field. ..Authored and peer-reviewed by world experts, the entries explain the key sof作者: Fsh238 時間: 2025-3-28 13:00 作者: peritonitis 時間: 2025-3-28 17:04 作者: BRIDE 時間: 2025-3-28 22:12
