Alternating Convolutions of Catalan Numbers
Wenchang Chu
TL;DR
This paper introduces a novel class of alternating convolutions involving binomial coefficients and Catalan numbers, providing closed-form evaluations that advance combinatorial mathematics.
Contribution
It presents a new class of alternating convolutions with closed-form solutions, specifically involving binomial coefficients and Catalan numbers.
Findings
Closed-form expressions for the convolutions
Enhanced understanding of Catalan number properties
Potential applications in combinatorics
Abstract
A new class of alternating convolutions concerning binomial coefficients and Catalan numbers are evaluated in closed forms.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Mathematical Identities · Mathematics and Applications · Advanced Mathematical Theories and Applications