Details

Autor(en) / Beteiligte

• Kim, D. S.
• Kim, T.

Titel

A new approach to Catalan numbers using differential equations

Ist Teil von

• Russian journal of mathematical physics, 2017-10, Vol.24 (4), p.465-475

Ort / Verlag

Moscow: Pleiades Publishing

Erscheinungsjahr

2017

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• In this paper, we introduce two differential equations arising from the generating function of the Catalan numbers which are ‘inverses’ to each other in a certain sense. From these differential equations, we obtain some new and explicit identities for Catalan and higher-order Catalan numbers. In addition, by other means than differential equations, we also derive some interesting identities involving Catalan numbers which are of arithmetic and combinatorial nature.