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arXiv · 2003.12653

On a conjecture related to integer-valued polynomials

Victor J. W. Guo
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Abstract

Using the following $_4F_3$ transformation formula $$ \sum_{k=0}^{n}{-x-1\choose k}^2{x\choose n-k}^2=\sum_{k=0}^{n}{n+k\choose 2k}{2k\choose k}^2{x+k\choose 2k}, $$ which can be proved by Zeilberger's algorithm, we confirm some special cases of a recent conjecture of Z.-W. Sun on integer-valued polynomials.

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Victor J. W. Guo. 2020-03-23. On a conjecture related to integer-valued polynomials. https://arxiv.org/abs/2003.12653

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