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Two Kinds of Series Involving the Reciprocals of Binomial Coefficients
  • ISSN号：1002-0462
  • 期刊名称：《数学季刊：英文版》
  • 时间：0
  • 分类：O157[理学—数学;理学—基础数学]
  • 作者机构：[1]Department of Engineering Technology, Xinxiang Vocational and Technical College, Xinxiang 453006,China
  • 相关基金：Supported by the NNSF of China（10771093）;Supported by the NSF of Henan Province（0511010300）
作者： SONG Hai-tao[1]
关键词： 二项式的系数的, reciprocals, 正式力量系列, 组合身份, reciprocals of binomial coefficients, formal power series, combinatorial identity
中文摘要：

由使用正式力量系列的理论，作者为包含二项式的系数的 reciprocals 的二种无限的系列获得关上的形式，并且作者为无限的系列 rmtn+r/(n+rr ) 得到另一种关上的形式。

英文摘要：

By applying the theory of formal power series,the author obtains the closed forms for two kinds of infinite series involving the reciprocals of binomial coefficients,and the author gets another closed form for the infinite series Σr≥m tn＋r/（n＋rr）.

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期刊信息
  • 《数学季刊：英文版》
  • 北大核心期刊（2004版）
  • 主管单位:
  • 主办单位:河南大学
  • 主编：胡和生 林群
  • 地址：河南省开封市明伦街85号河南大学
  • 邮编：475001
  • 邮箱：
  • 电话：0378-3881698
  • 国际标准刊号：ISSN：1002-0462
  • 国内统一刊号：ISSN：41-1102/O1
  • 邮发代号:36-170
  • 获奖情况:
  • 1998年河南省优秀科技期刊二等奖. 2000年河南省优...
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  • 被引量:468