FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2963353493> ?p ?o ?g. }

• W2963353493 abstract "We use the viewpoint of the formal calculus underlying vertex operator algebra theory to study certain aspects of the classical umbral calculus. We begin by calculating the exponential generating function of the higher derivatives of a composite function, following a very short proof which naturally arose as a motivating computation related to a certain crucial associativity property of an important class of vertex operator algebras. Very similar (somewhat forgotten) proofs had appeared by the 19-th century, of course without any motivation related to vertex operator algebras. Using this formula, we derive certain results, including especially the calculation of certain adjoint operators, of the classical umbral calculus. This is, roughly speaking, a reversal of the logical development of some standard treatments, which have obtained formulas for the higher derivatives of a composite function, most notably Faà di Bruno's formula, as a consequence of umbral calculus. We also show a connection between the Virasoro algebra and the classical umbral shifts. This leads naturally to a more general class of operators, which we introduce, and which include the classical umbral shifts as a special case. We prove a few basic facts about these operators." @default.
• W2963353493 created "2019-07-30" @default.
• W2963353493 creator A5013023607 @default.
• W2963353493 date "2010-07-10" @default.
• W2963353493 modified "2023-09-27" @default.
• W2963353493 title "Formal Calculus and Umbral Calculus" @default.
• W2963353493 cites W1519976488 @default.
• W2963353493 cites W1523633133 @default.
• W2963353493 cites W1543518977 @default.
• W2963353493 cites W1553016988 @default.
• W2963353493 cites W1596950036 @default.
• W2963353493 cites W1599554001 @default.
• W2963353493 cites W1605955279 @default.
• W2963353493 cites W1802623620 @default.
• W2963353493 cites W186230741 @default.
• W2963353493 cites W1967242346 @default.
• W2963353493 cites W1972017624 @default.
• W2963353493 cites W1984073586 @default.
• W2963353493 cites W1990394199 @default.
• W2963353493 cites W1994416105 @default.
• W2963353493 cites W1997318331 @default.
• W2963353493 cites W2001412859 @default.
• W2963353493 cites W2002452030 @default.
• W2963353493 cites W2004170125 @default.
• W2963353493 cites W2005682128 @default.
• W2963353493 cites W2008237949 @default.
• W2963353493 cites W2048936241 @default.
• W2963353493 cites W2066466600 @default.
• W2963353493 cites W2117414617 @default.
• W2963353493 cites W2125838758 @default.
• W2963353493 cites W2143170067 @default.
• W2963353493 cites W2325977053 @default.
• W2963353493 cites W2334430587 @default.
• W2963353493 cites W2498752732 @default.
• W2963353493 cites W3012308397 @default.
• W2963353493 cites W587894314 @default.
• W2963353493 doi "https://doi.org/10.37236/367" @default.
• W2963353493 hasPublicationYear "2010" @default.
• W2963353493 type Work @default.
• W2963353493 sameAs 2963353493 @default.
• W2963353493 citedByCount "9" @default.
• W2963353493 countsByYear W29633534932013 @default.
• W2963353493 countsByYear W29633534932014 @default.
• W2963353493 countsByYear W29633534932015 @default.
• W2963353493 crossrefType "journal-article" @default.
• W2963353493 hasAuthorship W2963353493A5013023607 @default.
• W2963353493 hasBestOaLocation W29633534931 @default.
• W2963353493 hasConcept C100376341 @default.
• W2963353493 hasConcept C104317684 @default.
• W2963353493 hasConcept C108710211 @default.
• W2963353493 hasConcept C118615104 @default.
• W2963353493 hasConcept C132525143 @default.
• W2963353493 hasConcept C13355873 @default.
• W2963353493 hasConcept C134306372 @default.
• W2963353493 hasConcept C136119220 @default.
• W2963353493 hasConcept C14394260 @default.
• W2963353493 hasConcept C151376022 @default.
• W2963353493 hasConcept C158448853 @default.
• W2963353493 hasConcept C17020691 @default.
• W2963353493 hasConcept C179724543 @default.
• W2963353493 hasConcept C185592680 @default.
• W2963353493 hasConcept C199343813 @default.
• W2963353493 hasConcept C202444582 @default.
• W2963353493 hasConcept C2524010 @default.
• W2963353493 hasConcept C2777686260 @default.
• W2963353493 hasConcept C33923547 @default.
• W2963353493 hasConcept C55493867 @default.
• W2963353493 hasConcept C71924100 @default.
• W2963353493 hasConcept C80899671 @default.
• W2963353493 hasConcept C86339819 @default.
• W2963353493 hasConceptScore W2963353493C100376341 @default.
• W2963353493 hasConceptScore W2963353493C104317684 @default.
• W2963353493 hasConceptScore W2963353493C108710211 @default.
• W2963353493 hasConceptScore W2963353493C118615104 @default.
• W2963353493 hasConceptScore W2963353493C132525143 @default.
• W2963353493 hasConceptScore W2963353493C13355873 @default.
• W2963353493 hasConceptScore W2963353493C134306372 @default.
• W2963353493 hasConceptScore W2963353493C136119220 @default.
• W2963353493 hasConceptScore W2963353493C14394260 @default.
• W2963353493 hasConceptScore W2963353493C151376022 @default.
• W2963353493 hasConceptScore W2963353493C158448853 @default.
• W2963353493 hasConceptScore W2963353493C17020691 @default.
• W2963353493 hasConceptScore W2963353493C179724543 @default.
• W2963353493 hasConceptScore W2963353493C185592680 @default.
• W2963353493 hasConceptScore W2963353493C199343813 @default.
• W2963353493 hasConceptScore W2963353493C202444582 @default.
• W2963353493 hasConceptScore W2963353493C2524010 @default.
• W2963353493 hasConceptScore W2963353493C2777686260 @default.
• W2963353493 hasConceptScore W2963353493C33923547 @default.
• W2963353493 hasConceptScore W2963353493C55493867 @default.
• W2963353493 hasConceptScore W2963353493C71924100 @default.
• W2963353493 hasConceptScore W2963353493C80899671 @default.
• W2963353493 hasConceptScore W2963353493C86339819 @default.
• W2963353493 hasIssue "1" @default.
• W2963353493 hasLocation W29633534931 @default.
• W2963353493 hasLocation W29633534932 @default.
• W2963353493 hasLocation W29633534933 @default.
• W2963353493 hasOpenAccess W2963353493 @default.
• W2963353493 hasPrimaryLocation W29633534931 @default.
• W2963353493 hasRelatedWork W1987272770 @default.

• next