Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4613876 | Journal of Mathematical Analysis and Applications | 2016 | 10 Pages |
Abstract
Recently, Z.-W. Sun introduced two kinds of polynomials related to the Delannoy numbers, and proved some supercongruences on sums involving those polynomials. We deduce new summation formulas for squares of those polynomials and use them to prove that certain rational sums involving even powers of those polynomials are integers whenever they are evaluated at integers. This confirms two conjectures of Z.-W. Sun. We also conjecture that many of these results have neat q-analogues.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Victor J.W. Guo,