Differential equations associated with Catalan–Daehee numbers and their applications

Differential equations associated with Catalan–Daehee numbers and their applications
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DOI:
10.1007/s13398-016-0349-4
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发表时间:
2017-10
期刊:
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas
影响因子:
--
通讯作者:
Taekyun Kim;Dae San Kim
Taekyun Kim;Dae San Kim
中科院分区:
其他
文献类型:
--
作者:
Taekyun Kim;Dae San Kim

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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.