Results 251 to 260 of about 100,720 (284)

INFINITE SERIES WITH HARMONIC NUMBERS AND CENTRAL BINOMIAL COEFFICIENTS

International Journal of Number Theory, 2009
By means of two hypergeometric summation formulae, we establish two large classes of infinite series identities with harmonic numbers and central binomial coefficients. Up to now, these numerous formulae have hidden behind very few known identities of Apéry-like series for Riemann-zeta function, discovered mainly by Lehmer [14] and Elsner [12] as well ...
CHU, Wenchang, ZHENG D. Y.
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Interesting Series Involving the Central Binomial Coefficient

The American Mathematical Monthly, 1985
(1985). Interesting Series Involving the Central Binomial Coefficient. The American Mathematical Monthly: Vol. 92, No. 7, pp. 449-457.
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Wallis's Product and the Central Binomial Coefficient

The American Mathematical Monthly, 2015
(2015). Wallis's Product and the Central Binomial Coefficient. The American Mathematical Monthly: Vol. 122, No. 7, pp. 689-689.
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DIVISIBILITY OF CERTAIN SUMS INVOLVING CENTRAL q-BINOMIAL COEFFICIENTS

Rocky Mountain Journal of Mathematics
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Chen, Yifan, Wang, Xiaoxia
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Some congruences involving fourth powers of central q-binomial coefficients

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2019
AbstractWe prove some congruences on sums involving fourth powers of central q-binomial coefficients. As a conclusion, we confirm the following supercongruence observed by Long [Pacific J. Math. 249 (2011), 405–418]: $$\sum\limits_{k = 0}^{((p^r-1)/(2))} {\displaystyle{{4k + 1} \over {{256}^k}}} \left( \matrix{2k \cr k} \right)^4\equiv p^r\quad \left( {
Guo, Victor J. W., Wang, Su-Dan
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Number of divisors of the central binomial coefficient

Moscow University Mathematics Bulletin, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Series Involving Cubic Central Binomial Coefficients of Convergence Rate 1/64

Bulletin of the Malaysian Mathematical Sciences Society
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chunli Li, Wenchang Chu
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The Central Binomial Coefficient

2022
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Cancer Statistics, 2021

Ca-A Cancer Journal for Clinicians, 2021
Rebecca L Siegel, Kimberly D Miller
exaly  

Infinite Product Representation for Central Binomial Coefficients

We introduce an elegant infinite product for central binomial coefficients.
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