Differential equations associated with Catalan-Daehee numbers and their applications. (English) Zbl 1373.05023
Summary: In this paper, we consider Catalan type Daehee numbers which are called Catalan-Daehee numbers and study the family of inhomogeneous linear differential equations arising from the generating function of Catalan-Daehee numbers and their applications. From our study of differential equations, we derive some new and explicit identities involving Catalan-Daehee numbers and Catalan numbers.
MSC:
| 05A19 | Combinatorial identities, bijective combinatorics |
| 11B83 | Special sequences and polynomials |
| 34A30 | Linear ordinary differential equations and systems |
References:
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