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The Bessel Numbers and Bessel Matrices 被引量：1

The Bessel Numbers and Bessel Matrices
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摘要 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. 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.
作者 Sheng Liang YANG Zhan Ke QIAO
机构地区 Department of Applied Mathematics Department of Mathematics
出处 《Journal of Mathematical Research and Exposition》 CSCD 2011年第4期627-636,共10页 数学研究与评论（英文版）
基金 Supported by the Natural Science Foundation of Gansu Province (Grant No.1010RJZA049)
关键词 Bessel number of the first kind Bessel number of the second kind exponential Riordan array Stifling numbers Bessel matrix. Bessel number of the first kind Bessel number of the second kind exponential Riordan array Stifling numbers Bessel matrix.
分类号 O157.1 [理学—基础数学]
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参考文献23

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Journal of Mathematical Research and Exposition
2011年 第4期

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