Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5776127 | Journal of Computational and Applied Mathematics | 2018 | 20 Pages |
Abstract
In the paper, by investigating the generating function of central Delannoy numbers, the authors establish several explicit expressions, including determinantal expressions, for central Delannoy numbers, present three identities involving the Cauchy products of central Delannoy numbers, discover an integral representation for central Delannoy numbers, find (absolute) monotonicity, convexity, and logarithmic convexity for the sequence of central Delannoy numbers, and construct several product and determinantal inequalities for central Delannoy numbers.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Feng Qi, Viera ÄerÅanová, Xiao-Ting Shi, Bai-Ni Guo,