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has been cited by the following article:

• TITLE: The Series of Reciprocals of Non-central Binomial Coefficients

  AUTHORS: Laiping Zhang, Wanhui Ji

  KEYWORDS: Binomial Coefficients; Split Terms; Reciprocals; Series; Non-central; Closed Form

  JOURNAL NAME: American Journal of Computational Mathematics, Vol.3 No.3B, October 25, 2013

  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 analysis way and elementary method to create new series.