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. © 2022,Malaysian Journal of Mathematical...

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Published in:Malaysian Journal of Mathematical Sciences
Main Author: Rakhimov I.; Mohd Atan K.A.; Hadi N.A.
Format: Article
Language:English
Published: Universiti Putra Malaysia 2022
Online Access:https://www.scopus.com/inward/record.uri?eid=2-s2.0-85146732488&doi=10.47836%2fmjms.16.4.09&partnerID=40&md5=50f041c87970f6e906c1e556b92ca6b0
id 2-s2.0-85146732488
spelling 2-s2.0-85146732488
Rakhimov I.; Mohd Atan K.A.; Hadi N.A.
Some Convolution Identities for Catalan Numbers
2022
Malaysian Journal of Mathematical Sciences
16
4
10.47836/mjms.16.4.09
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85146732488&doi=10.47836%2fmjms.16.4.09&partnerID=40&md5=50f041c87970f6e906c1e556b92ca6b0
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. © 2022,Malaysian Journal of Mathematical Sciences.All Rights Reserved.
Universiti Putra Malaysia
18238343
English
Article
All Open Access; Bronze Open Access
author Rakhimov I.; Mohd Atan K.A.; Hadi N.A.
spellingShingle Rakhimov I.; Mohd Atan K.A.; Hadi N.A.
Some Convolution Identities for Catalan Numbers
author_facet Rakhimov I.; Mohd Atan K.A.; Hadi N.A.
author_sort Rakhimov I.; Mohd Atan K.A.; Hadi N.A.
title Some Convolution Identities for Catalan Numbers
title_short Some Convolution Identities for Catalan Numbers
title_full Some Convolution Identities for Catalan Numbers
title_fullStr Some Convolution Identities for Catalan Numbers
title_full_unstemmed Some Convolution Identities for Catalan Numbers
title_sort Some Convolution Identities for Catalan Numbers
publishDate 2022
container_title Malaysian Journal of Mathematical Sciences
container_volume 16
container_issue 4
doi_str_mv 10.47836/mjms.16.4.09
url https://www.scopus.com/inward/record.uri?eid=2-s2.0-85146732488&doi=10.47836%2fmjms.16.4.09&partnerID=40&md5=50f041c87970f6e906c1e556b92ca6b0
description 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. © 2022,Malaysian Journal of Mathematical Sciences.All Rights Reserved.
publisher Universiti Putra Malaysia
issn 18238343
language English
format Article
accesstype All Open Access; Bronze Open Access
record_format scopus
collection Scopus
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