Combinatory Classes of Compositions with Higher Order Conjugation

Autor:	Augustine O. Munagi
Rok vydání:	2019
Předmět:	Generalization 010102 general mathematics Generating function 0102 computer and information sciences Extension (predicate logic) Composition (combinatorics) 01 natural sciences Combinatorics 010201 computation theory & mathematics Enumeration Discrete Mathematics and Combinatorics Order (group theory) 0101 mathematics Reciprocal Mathematics
Zdroj:	Annals of Combinatorics. 23:917-934
ISSN:	0219-3094 0218-0006
Popis:	We consider certain classes of compositions of numbers based on the recently introduced extension of conjugation to higher orders. We use generating functions and combinatorial identities to provide enumeration results for compositions possessing conjugates of a given order. Working under some popular themes in the theory, we show that results for these compositions specialize to standard results in a natural way. We also give a generalization of MacMahon’s identities for inverse-conjugate compositions and discuss inverse-reciprocal compositions.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::c7640acb9e65b3ceb2dcc0f3097ade6e https://doi.org/10.1007/s00026-019-00471-6 Zobrazit plný text záznamu Plný text ve formátu PDF Plný text ve formátu HTML
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