Some Convolution Identities for Catalan Numbers

Some Convolution Identities for Catalan Numbers

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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Veröffentlicht in:Malaysian Journal of Mathematical Sciences 2022-12, Vol.16 (4), p.771-782
Hauptverfasser: Rakhimov, I., Mohd Atan, K. A., Hadi, N. A.
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:2289-750X
1823-8343
DOI:10.47836/mjms.16.4.09