Differential equations associated with Catalan-Daehee numbers and their applications

作者:Kim, Taekyun*; Kim, Dae San
来源:Revista de la Real Academia de Ciencias Exactas Fisicas y Naturales Serie A-Matematicas, 2017, 111(4): 1071-1081.
DOI:10.1007/s13398-016-0349-4

摘要

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.