One Class Series Involving Reciprocals of Binominal Coefficients

Lai Ping Zhang; Wan Hui Ji

doi:10.4028/www.scientific.net/AMM.444-445.655

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 444-445One Class Series Involving Reciprocals of...

One Class Series Involving Reciprocals of Binominal Coefficients

Abstract:

Using one known series, We can structure several new series of reciprocals of central binomial coefficients by splitting terms ,these new created denominator of series contain 1 to 4 factors of binomial coefficients. As the result of splitting terms, some identities of series of numbers values of reciprocals of binomial coefficients are given. The method of splitting terms offered in this paper is a new combinatorial an analysis way and elementary method to create new series.

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Periodical:

Applied Mechanics and Materials (Volumes 444-445)

Pages:

655-660

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.444-445.655

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Online since:

October 2013

Authors:

Lai Ping Zhang, Wan Hui Ji

Keywords:

Binomial Coefficients, Form Closed, Reciprocals, Series, Split Terms

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