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计数组合学的创新者:徐利治和高尔德——谨以此文献给99岁和91岁高龄的两位数学名师和名家 被引量:1

Hsu and Gould——Innovators of Enumerative Combinatorics
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摘要 本文介绍中美两位国际著名数学家徐利治和高尔德教授的学术活动.他们均为计数组合学的创新者,在数学研究中多有交集,成果丰硕,为数学事业做出了重大贡献.他们之间还保持了半个多世纪的友谊. This paper briefly presents the academic activities of two internationally renowned mathematicians Prof.Leetsch.C.Hsu and Prof.Henry W.Gould.Both of them were innovators in the area of enumerative combinatorics,had similar research interests,fruitful,and had made significant contributions to mathematics.They had kept a friendship for more than half a century.
作者 罗见今 LUO Jianjin(Institute for the History of Science and Technology,Inner Mongolia Normal University,Huhhot 010022)
出处 《高等数学研究》 2019年第4期13-20,24,共8页 Studies in College Mathematics
关键词 离散数学 计数组合学 斯特灵数 朱-范德蒙卷积公式 莫比乌斯反演公式 高尔德-徐反演公式 discrete mathematics enumerative combinatorics Stirling numbers Chu-Vandermonde formula Mobius inversion Gould-Hsu inversion
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  • 1Gould H W. Combinatorial Identities: A Standardized Set of Tables Listing 500 Binomial Coefficient Summations 2nd ed. Morgantown: Published by the author, 1972.
  • 2Bailey W N. The partial sum of the coefficients of the hypergeometric series. J London Math Soc, 1931, sl-6:4041.
  • 3Bailey W N. Generalized Hypergeometric Series. Cambridge Tracts in Mathematics and Mathematical Physics, 32.Cambridge: Cambridge University Press, 1935.
  • 4Nanjundiah T S. Remark on a note of P. Turn. Amer Math Monthly, 1958, 65:354 -354.
  • 5Schwatt I J. An Introduction to the Operations with Series. Philadelphia: The Press of the University of Pennsylvania 1924.
  • 6Reprinted by New York: Chelsea Publishing Company, 1962.

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