American Journal of Computational Mathematics
Volume 3, Issue 3 (September 2013)
ISSN Print: 2161-1203 ISSN Online: 2161-1211
Google-based Impact Factor: 0.42 Citations
The Series of Reciprocals of Non-central Binomial Coefficients ()
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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.
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