On the Moments of Squared Binomial Coefficients
: Gogin Nikita, Hirvensalo Mika
: International Conference on Polynomial Computer Algebra
Publisher: VVM Publishing
: 2020
: International Conference Polynomial Computer Algebra ‘2020; St. Petersburg, October 12–17 2020, Euler International Mathematical Institute
: 65
: 69
: 978-5-9651-0568-7
: https://pca-pdmi.ru/2020/pca2020_book.pdf(external)
: https://research.utu.fi/converis/portal/detail/Publication/51882140(external)
Abstract. Explicit recurrent formulas for ordinary and alternated power moments of the squared binomial coefficients are derived in this article. Every
such moment proves to be a linear combination of the previous ones via a
coecient list of the relevant Krawtchouk polynomial.