涉及高阶ApostolEuler数、 错排数与第一类Stirling数之间的几个恒等式

Several Identities Involving ApostolEuler Numbers of Higher Order, Wrong Permutation Numbers and Stirling Numbers of First Kind

LI Zhirong¹， LI Yinghui²

1. Department of Information Engineering, Zhongshan Torch College, Zhongshan 528436, Guangdong Province, China; 2. Department of Applied Mechanics and Engineering, Southwest Jiaotong Univesity， Chengdu 610031, China

Received:2006-10-08 Revised:1900-01-01 Online:2007-07-26 Published:2007-07-26
Contact: LI Yinghui

Abstract

Abstract: everal identities involving ApostolEuler numbers of higher order, wrong permutation numbers and Stirling numbers of the first kind are established by means of the method of generating function, and computationalformulas of ApostolEuler numbers of higher order, ApostolEuler numbers, Euler numbers of higher order and Euler numbers are given.

Key words: ApostolEuler number of higher order, Euler number of higher order, wrong permutation number, Stirling number of the first kind, identity, generating function

CLC Number:

O157

LI Zhirong， LI Yinghui. Several Identities Involving ApostolEuler Numbers of Higher Order, Wrong Permutation Numbers and Stirling Numbers of First Kind[J].J4, 2007, 45(04): 515-518.

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Several Identities Involving ApostolEuler Numbers of Higher Order, Wrong Permutation Numbers and Stirling Numbers of First Kind

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