Bialgebras of Recursive Sequences and Combinatorial Identities

Autor:	Earl J. Taft, Eric Müller, Carl A. Futia
Rok vydání:	2002
Předmět:	Sequence Recursion Relation (database) Applied Mathematics Mathematics::Rings and Algebras Coproduct Bialgebra Ground field Combinatorics Recursive set Mathematics::Category Theory Mathematics::Quantum Algebra Order (group theory) Mathematics
Zdroj:	Advances in Applied Mathematics. 28:244-271
ISSN:	0196-8858
DOI:	10.1006/aama.2001.0778
Popis:	A recursive sequence is an infinite sequence of elements of some fixed ground field which satisfies a recursion relation of finite order. We shall investigate certain bialgebra structures on linear spaces of recursive sequences. By choosing appropriate bases for these bialgebras we show how an explicit formula for the coproduct can imply interesting combinatorial identities.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c52b9e640a3c7571bf682536b2490afe https://doi.org/10.1006/aama.2001.0778 Zobrazit plný text záznamu Full Text from ScienceDirect