Chinese Quarterly Journal of Mathematics ›› 2011, Vol. 26 ›› Issue (2): 306-310.

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Two Kinds of Series Involving the Reciprocals of Binomial Coefficients 

  

  1. Department of Engineering Technology, Xinxiang Vocational and Technical College
  • Received:2007-12-10 Online:2011-06-30 Published:2023-05-06
  • About author:SONG Hai-tao(1981-), male, native of Kaifeng, Henan, a lecturer of Xinxiang Vocational and Technical College, M.S.D., engages in combinatorial mathematics.
  • Supported by:
    Supported by the NNSF of China(10771093); Supported by the NSF of Henan Province(0511010300);

Abstract: 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≥mtn+r/(n+r r).

Key words: reciprocals of binomial coefficients, formal power series, combinatorial identity

CLC Number: