Central and local limit theorems for the weighted Delannoy numbers. (English) Zbl 1524.05011
Summary: In this research, we generalize our result for numbers satisfying the Delannoy triangle. We obtain a central limit theorem and a local limit theorem for weighted numbers of the triangle and establish the rate of convergence to the limiting (normal) distribution.
MSC:
| 05A15 | Exact enumeration problems, generating functions |
| 05A16 | Asymptotic enumeration |
| 60F05 | Central limit and other weak theorems |
| 39A06 | Linear difference equations |
| 39A14 | Partial difference equations |
