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The Series of Reciprocals of Non-central Binomial Coefficients

Abstract --

Utilizing the properties of 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 5 odd factors of binomial coefficients. The Series identity of reciprocals of non-central binomial coefficients are given, and the summation of that series are closed form.

Keywords -- Binomial coefficients; non-central; Reciprocals; Series; Split terms

References --

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About the Author

Yang chunyan

Yang chunyan

Department. of Basic, Yin Chuan Energy College, Yin Chuan,750105, China

Email: 1204ningxia@163.com

Ji wanhui

Department. of Basic, Yin Chuan Energy College, Yin Chuan,750105, China

Email:Jiwanhui2008@163.com


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