Some Convolution Identities for Catalan Numbers
I. S. RakhimovV.I.Romanovski Institute of Mathematics, Uzbekistan Academy of Sciences, UzbekistanKamel Ariffin Mohd AtanInstitute for Mathematical Research, Universiti Putra Malaysia, MalaysiaN. A. HadiFaculty of Computer and Mathematical Sciences, Universiti Teknologi MARA (UiTM), Malaysia
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In the paper, we propose a series of convolution identities for the sequence of Catalan numbers. The proofs of two of them are provided and the other identities are proposed as conjectures. We include a simple Maple code to generate and confirm the identities.
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