Matches in SemOpenAlex for { <https://semopenalex.org/work/W2423846475> ?p ?o ?g. }
Showing items 1 to 92 of
92
with 100 items per page.
- W2423846475 endingPage "272" @default.
- W2423846475 startingPage "251" @default.
- W2423846475 abstract "Abstract In this paper we present the basic tools of a fractional function theory in higher dimensions by means of a fractional correspondence to the Weyl relations via fractional Riemann–Liouville derivatives. A Fischer decomposition, Almansi decomposition, fractional Euler and Gamma operators, monogenic projection, and basic fractional homogeneous powers are constructed. Moreover, we establish the fractional Cauchy–Kovalevskaya extension (FCK extension) theorem for fractional monogenic functions defined on ℝ d . Based on this extension principle, fractional Fueter polynomials, forming a basis of the space of fractional spherical monogenics, i.e. fractional homogeneous polynomials, are introduced. We study the connection between the FCK extension of functions of the form x P l and the classical Gegenbauer polynomials. Finally, we present an example of an FCK extension." @default.
- W2423846475 created "2016-06-24" @default.
- W2423846475 creator A5059821284 @default.
- W2423846475 date "2016-06-13" @default.
- W2423846475 modified "2023-10-13" @default.
- W2423846475 title "Fischer Decomposition and Cauchy–Kovalevskaya Extension in Fractional Clifford Analysis: The Riemann–Liouville Case" @default.
- W2423846475 cites W1969789877 @default.
- W2423846475 cites W1974433569 @default.
- W2423846475 cites W1992944552 @default.
- W2423846475 cites W2007374809 @default.
- W2423846475 cites W2027005727 @default.
- W2423846475 cites W2040334690 @default.
- W2423846475 cites W2042098014 @default.
- W2423846475 cites W2051225432 @default.
- W2423846475 cites W2053705862 @default.
- W2423846475 cites W2079266588 @default.
- W2423846475 cites W2083676378 @default.
- W2423846475 cites W2098940483 @default.
- W2423846475 cites W2334758825 @default.
- W2423846475 cites W4213269858 @default.
- W2423846475 doi "https://doi.org/10.1017/s0013091516000109" @default.
- W2423846475 hasPublicationYear "2016" @default.
- W2423846475 type Work @default.
- W2423846475 sameAs 2423846475 @default.
- W2423846475 citedByCount "18" @default.
- W2423846475 countsByYear W24238464752015 @default.
- W2423846475 countsByYear W24238464752017 @default.
- W2423846475 countsByYear W24238464752018 @default.
- W2423846475 countsByYear W24238464752019 @default.
- W2423846475 countsByYear W24238464752020 @default.
- W2423846475 countsByYear W24238464752021 @default.
- W2423846475 countsByYear W24238464752022 @default.
- W2423846475 countsByYear W24238464752023 @default.
- W2423846475 crossrefType "journal-article" @default.
- W2423846475 hasAuthorship W2423846475A5059821284 @default.
- W2423846475 hasBestOaLocation W24238464751 @default.
- W2423846475 hasConcept C10628310 @default.
- W2423846475 hasConcept C111919701 @default.
- W2423846475 hasConcept C114614502 @default.
- W2423846475 hasConcept C134306372 @default.
- W2423846475 hasConcept C154249771 @default.
- W2423846475 hasConcept C158650840 @default.
- W2423846475 hasConcept C177547823 @default.
- W2423846475 hasConcept C199360897 @default.
- W2423846475 hasConcept C202444582 @default.
- W2423846475 hasConcept C2778029271 @default.
- W2423846475 hasConcept C2778572836 @default.
- W2423846475 hasConcept C33923547 @default.
- W2423846475 hasConcept C41008148 @default.
- W2423846475 hasConcept C48490523 @default.
- W2423846475 hasConcept C49344536 @default.
- W2423846475 hasConcept C62884695 @default.
- W2423846475 hasConcept C66882249 @default.
- W2423846475 hasConceptScore W2423846475C10628310 @default.
- W2423846475 hasConceptScore W2423846475C111919701 @default.
- W2423846475 hasConceptScore W2423846475C114614502 @default.
- W2423846475 hasConceptScore W2423846475C134306372 @default.
- W2423846475 hasConceptScore W2423846475C154249771 @default.
- W2423846475 hasConceptScore W2423846475C158650840 @default.
- W2423846475 hasConceptScore W2423846475C177547823 @default.
- W2423846475 hasConceptScore W2423846475C199360897 @default.
- W2423846475 hasConceptScore W2423846475C202444582 @default.
- W2423846475 hasConceptScore W2423846475C2778029271 @default.
- W2423846475 hasConceptScore W2423846475C2778572836 @default.
- W2423846475 hasConceptScore W2423846475C33923547 @default.
- W2423846475 hasConceptScore W2423846475C41008148 @default.
- W2423846475 hasConceptScore W2423846475C48490523 @default.
- W2423846475 hasConceptScore W2423846475C49344536 @default.
- W2423846475 hasConceptScore W2423846475C62884695 @default.
- W2423846475 hasConceptScore W2423846475C66882249 @default.
- W2423846475 hasIssue "1" @default.
- W2423846475 hasLocation W24238464751 @default.
- W2423846475 hasLocation W24238464752 @default.
- W2423846475 hasOpenAccess W2423846475 @default.
- W2423846475 hasPrimaryLocation W24238464751 @default.
- W2423846475 hasRelatedWork W2011083542 @default.
- W2423846475 hasRelatedWork W2019479651 @default.
- W2423846475 hasRelatedWork W2038519109 @default.
- W2423846475 hasRelatedWork W2075283588 @default.
- W2423846475 hasRelatedWork W2088544526 @default.
- W2423846475 hasRelatedWork W2124275718 @default.
- W2423846475 hasRelatedWork W2144457370 @default.
- W2423846475 hasRelatedWork W2360844559 @default.
- W2423846475 hasRelatedWork W2365085638 @default.
- W2423846475 hasRelatedWork W2963062970 @default.
- W2423846475 hasVolume "60" @default.
- W2423846475 isParatext "false" @default.
- W2423846475 isRetracted "false" @default.
- W2423846475 magId "2423846475" @default.
- W2423846475 workType "article" @default.