One Class Series of Reciprocals of Non-Central Binomial Coefficients

Bao Li Hei; Wan Hui Ji

doi:10.4028/www.scientific.net/AMM.543-547.1751

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 543-547One Class Series of Reciprocals of Non-Central...

One Class Series of Reciprocals of Non-Central Binomial Coefficients

Abstract:

Utilizing Gamma-Beta function, we can build one series involving reciprocal of non-central binomial coefficients, then We can structure several new series of reciprocals of non-central binomial coefficients by item splitting, these new created denominator of series contain 1 to 4 odd factors of binomial coefficients. As the result of splitting items, 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 543-547)

Pages:

1751-1756

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.543-547.1751

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Online since:

March 2014

Authors:

Bao Li Hei*, Wan Hui Ji

Keywords:

Binomial Coefficients, Closed Form, Non-Central, Reciprocals, Series, Split Terms

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