歐拉統(tǒng)計量及相關(guān)的計數(shù)多項式(英文版)
定 價:58 元
- 作者:馬世美 著
- 出版時間:2020/11/1
- ISBN:9787551725637
- 出 版 社:東北大學出版社
- 中圖法分類:O221.7
- 頁碼:117
- 紙張:
- 版次:1
- 開本:16開
本書主要概述了歐拉統(tǒng)計量的幾個**進展,著重論述了歐拉統(tǒng)計量、峰統(tǒng)計量、交錯子列統(tǒng)計量、上升平臺統(tǒng)計量等相關(guān)的組合統(tǒng)計量,并利用形式文法理論探討了一些經(jīng)典的計數(shù)多項式。本書可供組合數(shù)學方向的研究生和相關(guān)學者閱讀。
Chapter 1 Preliminary
1.1 Eulerian polynomials
1.2 Derivative polynomials
1.3 Peak polynomials
1.4 Alternating run polynomials
Chapter 2 Context-free grammars
2.1 Several classical examples
2.2 Ramanujan polynomials
2.3 Multivariate Eulerian polynomials
Chapter 3 Eulerian statistics on Stirling permutations
3.1 Introduction
3.2 The ascent-plateau statistics
3.3 A symmetric distribution
3.4 The flag ascent-plateau statistics
3.5 A partial gamma expansion
3.6 Dual Stirling permutations
Chapter 4 Eulerian statistics on simsun permutations
4.1 Introduction
4.2 Relationship to interior peaks
4.3 Interior peaks of simsun permutations
4.4 Signed simsun permutations
4.5 Even-signed simsun permutations
4.6 Simsun succesions and simsun patterns
4.7 Simsun permutations of the second kind
Bibliography