91直播

91直播：Tianxiao He 教授（Illinois Wesleyan University）

时间：2025年05月14日 15:00-

地点：理科楼LA103

摘要：We discuss the properties of the high-order Eulerian numbers and the high-order Eulerian matrices. The row generating functions and the row sums of the high-order Eulerian matrices are given. We also define high-order Eulerian fractions and their alternative forms. Some properties of high-order Eulerian fractions are expressed using differentials and integrals. The inversion relationships between the second-order Eulerian numbers and Stirling numbers of the second and first kinds are given. We also give exact expressions for the entries of high-order Eulerian matrices. Finally, we discuss the applications of Eulerian numbers in orthogonal polynomials and identities.

邀请人：傅士硕

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