Abstract
Chou, Hsu, and Shiue in [3] use Fa`a di Bruno’s formula give a class of composite series expansions. In this paper, we apply those expansions to construct a class of identities for Catalan numbers, large Schroder numbers, small Schroder numbers, parametric Catalan numbers, Stirling numbers, binomial numbers, some other recursive
number sequences, and recursive polynomial sequences.
| Original language | American English |
|---|---|
| Journal | Journal of Combinatorics and Number Theory |
| Volume | 7 |
| State | Published - 2015 |
Keywords
- Catalan numbers
- Fa´a di Bruno’s Formula
- Stirling numbers
- binomial numbers
- generalized Gegenbauer-Humbert polynomials
- large Schr¨oder numbers
- recursive number sequences
- small Schr¨oder numbers
Disciplines
- Mathematics