Matches in SemOpenAlex for { <https://semopenalex.org/work/W4300993449> ?p ?o ?g. }
Showing items 1 to 75 of
75
with 100 items per page.
- W4300993449 abstract "Recently, a new class of words, denoted by L_n, was shown to be in bijection with a subset of the Dyck paths of length 2n having cardinality given by the (n-1)-st Catalan number. Here, we consider statistics on L_n recording the number of occurrences of a letter i. In the cases i = 0 and i = 1, we are able to determine explicit expressions for the number of members of L_n containing a given number of zeros or ones, which generalizes the prior result. To do so, we make use of recurrences to derive a functional equation satisfied by the generating function, which we solve by a new method employing Chebyshev polynomials. Recurrences and generating function formulas are also provided in the case of general i." @default.
- W4300993449 created "2022-10-04" @default.
- W4300993449 creator A5024416044 @default.
- W4300993449 creator A5028347723 @default.
- W4300993449 date "2014-07-13" @default.
- W4300993449 modified "2023-10-16" @default.
- W4300993449 title "Chebyshev Polynomials and Statistics on a New Collection of Words in the Catalan Family" @default.
- W4300993449 doi "https://doi.org/10.48550/arxiv.1407.3516" @default.
- W4300993449 hasPublicationYear "2014" @default.
- W4300993449 type Work @default.
- W4300993449 citedByCount "0" @default.
- W4300993449 crossrefType "posted-content" @default.
- W4300993449 hasAuthorship W4300993449A5024416044 @default.
- W4300993449 hasAuthorship W4300993449A5028347723 @default.
- W4300993449 hasBestOaLocation W43009934491 @default.
- W4300993449 hasConcept C114614502 @default.
- W4300993449 hasConcept C118615104 @default.
- W4300993449 hasConcept C124101348 @default.
- W4300993449 hasConcept C129785596 @default.
- W4300993449 hasConcept C134306372 @default.
- W4300993449 hasConcept C138885662 @default.
- W4300993449 hasConcept C14036430 @default.
- W4300993449 hasConcept C154945302 @default.
- W4300993449 hasConcept C15708023 @default.
- W4300993449 hasConcept C164105321 @default.
- W4300993449 hasConcept C201292218 @default.
- W4300993449 hasConcept C204911207 @default.
- W4300993449 hasConcept C21424316 @default.
- W4300993449 hasConcept C24424167 @default.
- W4300993449 hasConcept C2777212361 @default.
- W4300993449 hasConcept C33923547 @default.
- W4300993449 hasConcept C41008148 @default.
- W4300993449 hasConcept C43929256 @default.
- W4300993449 hasConcept C78458016 @default.
- W4300993449 hasConcept C86803240 @default.
- W4300993449 hasConcept C87117476 @default.
- W4300993449 hasConceptScore W4300993449C114614502 @default.
- W4300993449 hasConceptScore W4300993449C118615104 @default.
- W4300993449 hasConceptScore W4300993449C124101348 @default.
- W4300993449 hasConceptScore W4300993449C129785596 @default.
- W4300993449 hasConceptScore W4300993449C134306372 @default.
- W4300993449 hasConceptScore W4300993449C138885662 @default.
- W4300993449 hasConceptScore W4300993449C14036430 @default.
- W4300993449 hasConceptScore W4300993449C154945302 @default.
- W4300993449 hasConceptScore W4300993449C15708023 @default.
- W4300993449 hasConceptScore W4300993449C164105321 @default.
- W4300993449 hasConceptScore W4300993449C201292218 @default.
- W4300993449 hasConceptScore W4300993449C204911207 @default.
- W4300993449 hasConceptScore W4300993449C21424316 @default.
- W4300993449 hasConceptScore W4300993449C24424167 @default.
- W4300993449 hasConceptScore W4300993449C2777212361 @default.
- W4300993449 hasConceptScore W4300993449C33923547 @default.
- W4300993449 hasConceptScore W4300993449C41008148 @default.
- W4300993449 hasConceptScore W4300993449C43929256 @default.
- W4300993449 hasConceptScore W4300993449C78458016 @default.
- W4300993449 hasConceptScore W4300993449C86803240 @default.
- W4300993449 hasConceptScore W4300993449C87117476 @default.
- W4300993449 hasLocation W43009934491 @default.
- W4300993449 hasLocation W43009934492 @default.
- W4300993449 hasLocation W43009934493 @default.
- W4300993449 hasOpenAccess W4300993449 @default.
- W4300993449 hasPrimaryLocation W43009934491 @default.
- W4300993449 hasRelatedWork W1483532407 @default.
- W4300993449 hasRelatedWork W2003628938 @default.
- W4300993449 hasRelatedWork W2103646894 @default.
- W4300993449 hasRelatedWork W2418411990 @default.
- W4300993449 hasRelatedWork W2551082991 @default.
- W4300993449 hasRelatedWork W2951064730 @default.
- W4300993449 hasRelatedWork W2952341176 @default.
- W4300993449 hasRelatedWork W2982742402 @default.
- W4300993449 hasRelatedWork W3109577171 @default.
- W4300993449 hasRelatedWork W4300993449 @default.
- W4300993449 isParatext "false" @default.
- W4300993449 isRetracted "false" @default.
- W4300993449 workType "article" @default.