两类关于二项式系数倒数的级数

数学季刊 ›› 2011, Vol. 26 ›› Issue (2): 306-310.

两类关于二项式系数倒数的级数

Department of Engineering Technology, Xinxiang Vocational and Technical College

收稿日期:2007-12-10 出版日期:2011-06-30 发布日期:2023-05-06
作者简介:SONG Hai-tao(1981-), male, native of Kaifeng, Henan, a lecturer of Xinxiang Vocational and Technical College, M.S.D., engages in combinatorial mathematics.
基金资助:
Supported by the NNSF of China(10771093)； Supported by the NSF of Henan Province(0511010300)；

Two Kinds of Series Involving the Reciprocals of Binomial Coeﬃcients

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)；

摘要/Abstract

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 Σ_r≥mt^n+r/(n+r r).

关键词: reciprocals of binomial coefficients, formal power series, combinatorial identity

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 Σ_r≥mt^n+r/(n+r r).

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

中图分类号:

O173

宋海涛. 两类关于二项式系数倒数的级数[J]. 数学季刊, 2011, 26(2): 306-310.

SONG Hai-tao. Two Kinds of Series Involving the Reciprocals of Binomial Coeﬃcients [J]. Chinese Quarterly Journal of Mathematics, 2011, 26(2): 306-310.

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