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Author:

阴东升 (阴东升.)

Indexed by:

PKU CSCD

Abstract:

本文首先对Shapiro的Riordan群进行了推广,给出了Hsu-Riordan partialmonoid的概念,然后在此框架内,对徐利治先生的两类扩展型广义Stirling数偶进行了统一处理;建立了Hsu-Wang转换定理,Brown-Sprugnoli转换公式,以及广义Brown转换引理-它揭示了一些不同类型的Hsu-Riordan阵之间转换的方法,由此可产生大量的恒等式.

Keyword:

转换公式 发生函数 Riordan阵/徐-Riordan阵 恒等式 偏monoid stirling数

Author Community:

  • [ 1 ] 北京工业大学应用数理学院 北京 100022

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Source :

数学研究与评论

Year: 2003

Issue: 02

Page: 253-260

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 11

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