| k-途径正则有向图 |
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| 引用本文： | 刘稳,林静.k-途径正则有向图[J].数学研究及应用,2011,31(4):637-642. |
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| 作者姓名： | 刘稳 林静 |
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| 作者单位： | 兰州理工大学应用数学系, 甘肃 兰州 730050;苏州科技大学数学系, 江苏 苏州 215009 |
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| 基金项目： | 甘肃省自然科学基金(Grant No.1010RJZA049). |
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| 摘 要： | In this paper, we define a class of strongly connected digraph, called the k-walk- regular digraph, study some properties of it, provide its some algebraic characterization and point out that the 0-walk-regular digraph is the same as the walk-regular digraph discussed by Liu and Lin in 2010 and the D-walk-regular digraph is identical with the weakly distance-regular digraph defined by Comellas et al in 2004.
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| 关 键 词： | k-walk-regular digraph predistance polynomial the crossed uv-local multiplicity. |
| 收稿时间： | 2/7/2010 12:00:00 AM |
| 修稿时间： | 2010/4/26 0:00:00 |
The Bessel Numbers and Bessel Matrices |
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| Wen LIU and Jing LIU.The Bessel Numbers and Bessel Matrices[J].Journal of Mathematical Research with Applications,2011,31(4):637-642. |
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| Authors: | Wen LIU and Jing LIU |
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| Institution: | 1. Department of Applied Mathematics, Lanzhou University of Technology, Gansu, 730050, P.R.China
2. Department of Mathematics, Suzhou University of Science and Technology, Jiangsu, 215009, P.R.China |
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| Abstract: | In this paper, using exponential Riordan arrays, we investigate the Bessel numbers and Bessel matrices. By exploring links between the Bessel matrices, the Stirling matrices and the degenerate Stirling matrices, we show that the Bessel numbers are special case of the degenerate Stirling numbers, and derive explicit formulas for the Bessel numbers in terms of the Stirling numbers and binomial coefficients. |
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| Keywords: | Bessel number of the first kind Bessel number of the second kind exponential Riordan array Stirling numbers Bessel matrix |
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