Kummer Functions(庫末函式)是庫末方程的解。
基本介紹
- 中文名:庫末函式
- 外文名:Kummer functions



Kummer Functions(庫末函式)是庫末方程的解。



Tricomi函式(第二類合流超幾何函式)U(a,b,z)是Kummer方程的另一個線性無關的解,有時會寫成Ψ(a,b,z);Whittaker函式 是Whittaker方程的解。Whittaker方程里的參數與Kummer方程的參數所對應的李代數參數相關;庫侖波函式(Coulombwavefunctions)是庫侖波方程的解。
合流超幾何函式(Kummer函式)可以用超幾何函式的極限表示如下 因此,所有合流超幾何函式的特例,例如貝塞爾函式都可以表示成超幾何函式的極限。勒讓德函式是有3個正則奇點的二階線性常微分方程的解,可以用以不同的形式用超幾何函式表示,例如 很多多項式,例如賈可比多項式P(α,β)n及其特殊情形勒讓德多項式,車...
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 ...
This chapter might make a convenient ending place in a graduate course.) In Chapter 14, we determine conditions that characterize the irreducibility of a binomial and describe the Galois group of a binomial. Chapter 15 briefly describes the theory of families of binomials--the so-called Kummer ...
8.Non-abelian Kummer theory CHAPTER 9 Hilbert's Irreducibility Theorem 1.Irreducibility and integral points 2.Irreducibility ver the rational numbers 3.Reduction steps 4.Function fields 5.Abstract definition of Hilbert sets 6.Applications to commutative group varieties CHAPTER 10 Well Functions and...
8 Infinite Algebraic Extensions 11.9 Galois Descent 11.10 Kummer Extensions Bibliography List of Notations Author Index Subject Index 作者簡介 P.M.Cohn(P.M.卡恩,英國)是國際知名學者,在數學和物理學界享有盛譽。本書凝聚了作者多年科研和教學成果,適用於科研工作者、高校教師和研究生。
6. Relations with Theta Functions 7. The Kummer Pairing 8. Periods and Homology Chapter Ⅷ Riemann Matrices and Classical Theta Functions 1. Riemann Matrices 2. The Siegel Upper Half Space 3. Fundamental Theta Functions chapterⅨ Involutions and Abelian Manifolds of Quaternion Type 1. Involutions...
4.6 The Kummer Theory 4.7 Acyclicity of Finite Morphisms 5.Cohomology of Algebraic Curves 5.1 Outline of Strategy 5.2 Tsen's Theorem 5.3 Cohomology of 5.4 Cohomology of Complete Curves 5.5 Duality on Complete Curves 5.6 Open Curves 6.Fundamental Theorems 6.1 Constructible Sheaves 6.2 ...
8 Infinite Algebraic Extensions 11.9 Galois Descent 11.10 Kummer Extensions Bibliography List of Notations Author Index Subject Index 作者簡介 P.M.Cohn(P.M.卡恩,英國)是國際知名學者,在數學和物理學界享有盛譽。本書凝聚了作者多年科研和教學成果,適用於科研工作者、高校教師和研究生。
(8)Zhi-Ting Xiong,Min-Jing Liet al.Differential invertase activity and root growth between Cu-tolerant and non-tolerant populations inKummerowia stipulaceaunder Cu stress and nutrient deficiency. Environmental and Experimental Botany, 2008, 62(1):17-27 (9)Zhi-Ting Xiong, Fei Zhao,Min-jing Li...
