点击选择搜索分类
首页 - 文芸- 正文
☆☆☆☆☆
||
李海龙 著
店铺: 科学出版社旗舰店 出版社: 科学出版社 ISBN:9787030309112 商品编码:1257179010 包装:平装 出版时间:2014-08-01 页数:156 字数:200000 正文语种:中文
书名:数论与特殊函数(英文版)
ISBN:9787030309112
著者:李海龙
出版社:科学出版社
POD版定价:98元
正文语言:中文
装帧:平装
开本:16
页数:156
字数:200000
《数论与特殊函数(英文版)》
Preface
Chapter 1 A quick introduction to complex analysis
1.1 Introduction
1.2 A quick introduction to complex analysis
1.2.1 Complex number system
1.2.2 Cauchy-Riemann equation and inverse functions
1.2.3 A rough description of complex analysis
1.2.4 Power series
1.2.5 Laurent expansion, residues
1.3 Around Jensen’s formula
1.4 Partial fraction expansion
1.4.1 Partial fraction expansions for rational functions
1.4.2 Partial fraction expansion for the cotangent function and some of its applications
Chapter 2 Elaboration of results of Srivastava and Choi
2.1 Glossary of symbols and formulas
2.2 Around the Hurwitz zeta-function
2.2.1 Applications of Proposition 2.1
2.2.2 Applications of Corollary 2.1
2.3 Euler integrals
2.4 Around the Euler integral
2.5 Around the Catalan constant
2.6 Kummer’s Fourier series for the Log Gamma function
Chapter 3 Arithmetic Laurent coefficients
3.1 Introduction
3.2 Proof of results
3.3 Examples
3.4 The Piltz divisor problem
3.5 The partial integral Ik(x)
3.6 Generalized Euler constants and modular relation
Chapter 4 Mikolas results and their applications
4.1 From the Riemann zeta to the Hurwitz zeta
4.2 Introduction and the polylogarithm case
4.3 The derivative case
Chapter 5 Zeta-value relations
5.1 The structural elucidation of Eisenstein’s formula
5.2 Proof of results
5.3 The Lipshitz-Lerch transcendent
Chapter 6 Summation formulas of Poisson and of Plana
6.1 The Poisson summation formula
6.2 Theta transformation formula and functional equation
6.3 The Hurwitz-Lerch zeta-function
6.4 Proof of results
Chapter 7 Modular relation and its applications
7.1 Introduction
7.2 The Riesz sum case
7.3 The Diophantine Dirichlet series
7.4 Elucidation of Katsurada’s results
7.5 Proof of results
7.6 Modular relations
Bibliography
Index
[按需印刷] 数论与特殊函数(英文版) 电子书 下载 mobi epub pdf txt
[按需印刷] 数论与特殊函数(英文版)-so88
[按需印刷] 数论与特殊函数(英文版) pdf epub mobi txt 电子书 下载 2022
图书介绍
☆☆☆☆☆
||
李海龙 著
店铺: 科学出版社旗舰店 出版社: 科学出版社 ISBN:9787030309112 商品编码:1257179010 包装:平装 出版时间:2014-08-01 页数:156 字数:200000 正文语种:中文
图书基本信息
书名:数论与特殊函数(英文版)
ISBN:9787030309112
著者:李海龙
出版社:科学出版社
POD版定价:98元
正文语言:中文
装帧:平装
开本:16
页数:156
字数:200000
目录
《数论与特殊函数(英文版)》
Preface
Chapter 1 A quick introduction to complex analysis
1.1 Introduction
1.2 A quick introduction to complex analysis
1.2.1 Complex number system
1.2.2 Cauchy-Riemann equation and inverse functions
1.2.3 A rough description of complex analysis
1.2.4 Power series
1.2.5 Laurent expansion, residues
1.3 Around Jensen’s formula
1.4 Partial fraction expansion
1.4.1 Partial fraction expansions for rational functions
1.4.2 Partial fraction expansion for the cotangent function and some of its applications
Chapter 2 Elaboration of results of Srivastava and Choi
2.1 Glossary of symbols and formulas
2.2 Around the Hurwitz zeta-function
2.2.1 Applications of Proposition 2.1
2.2.2 Applications of Corollary 2.1
2.3 Euler integrals
2.4 Around the Euler integral
2.5 Around the Catalan constant
2.6 Kummer’s Fourier series for the Log Gamma function
Chapter 3 Arithmetic Laurent coefficients
3.1 Introduction
3.2 Proof of results
3.3 Examples
3.4 The Piltz divisor problem
3.5 The partial integral Ik(x)
3.6 Generalized Euler constants and modular relation
Chapter 4 Mikolas results and their applications
4.1 From the Riemann zeta to the Hurwitz zeta
4.2 Introduction and the polylogarithm case
4.3 The derivative case
Chapter 5 Zeta-value relations
5.1 The structural elucidation of Eisenstein’s formula
5.2 Proof of results
5.3 The Lipshitz-Lerch transcendent
Chapter 6 Summation formulas of Poisson and of Plana
6.1 The Poisson summation formula
6.2 Theta transformation formula and functional equation
6.3 The Hurwitz-Lerch zeta-function
6.4 Proof of results
Chapter 7 Modular relation and its applications
7.1 Introduction
7.2 The Riesz sum case
7.3 The Diophantine Dirichlet series
7.4 Elucidation of Katsurada’s results
7.5 Proof of results
7.6 Modular relations
Bibliography
Index
[按需印刷] 数论与特殊函数(英文版) 电子书 下载 mobi epub pdf txt
电子书下载地址:
相关电子书推荐:
- 文件名
- 科普图书馆 小动物的大智慧:动物特种兵 9787542762122
- 看图学汽车维修技能
- 法布尔昆虫记
- 53天天练 小学英语 四年级下 RP(人教PEP版RP)2018年春
- 满58包邮 伽利略眼中的科学 9787531692195 【美】劳伦斯·利普金,卢东民、
- 桥梁工程软件midas Civil使用指南
- 生命的跃升(40亿年演化**的十大发明珍藏版)(精)
- Multisim 12仿真设计
- {RT}寻访海洋生物-金翔龙 陆儒德 中译出版社(原中国对外翻译出版公司) 9787500
- 书虫·牛津英汉双语读物:2级(上 适合初二、初三年级 套装共12册 附光盘)
- BF-费曼讲演录-一个平民科学家的思想-(美)R·P·费曼,王文浩 湖南科技出版社 978
- 英语是唱出来的
- WL-常见鸟类野外识别手册-郭冬生 重庆大学出版社 9787562428459
- 国家电网公司生产技能人员职业能力培训通用教材:二次回路
- 正版 大学生安全防护手册