Matches in SemOpenAlex for { <https://semopenalex.org/work/W2018974211> ?p ?o ?g. }
Showing items 1 to 90 of
90
with 100 items per page.
- W2018974211 endingPage "399" @default.
- W2018974211 startingPage "377" @default.
- W2018974211 abstract "A form (linear functional) u is called regular if there exists a sequence of polynomials {Pn}n⩾0, deg Pn=n which is orthogonal with respect to u. Such a form is said to be semi-classical, if there exist polynomials Φ and Ψ such that D(Φu) + Ψu = 0, where D designs the derivative operator. On certain regularity conditions, the product of a semi-classical form by a polynomial, gives a semi-classical form. In this paper, we consider the inverse problem: given a semi-classical form v, find all regular forms u which satisfy the relation x2u = −λv, λ ∈ C∗. We give the structure relation (differential-recurrence relation) of the orthogonal polynomial sequence relatively to u. An example is treated with a nonsymmetric form v." @default.
- W2018974211 created "2016-06-24" @default.
- W2018974211 creator A5051244506 @default.
- W2018974211 creator A5063104515 @default.
- W2018974211 date "1998-03-01" @default.
- W2018974211 modified "2023-09-26" @default.
- W2018974211 title "On the inverse problem of the product of a semi-classical form by a polynomial" @default.
- W2018974211 cites W102464786 @default.
- W2018974211 cites W2039900906 @default.
- W2018974211 cites W2051026428 @default.
- W2018974211 cites W2064047242 @default.
- W2018974211 cites W2069887733 @default.
- W2018974211 cites W2071286139 @default.
- W2018974211 cites W2090049000 @default.
- W2018974211 cites W2125843550 @default.
- W2018974211 doi "https://doi.org/10.1016/s0377-0427(97)00227-6" @default.
- W2018974211 hasPublicationYear "1998" @default.
- W2018974211 type Work @default.
- W2018974211 sameAs 2018974211 @default.
- W2018974211 citedByCount "15" @default.
- W2018974211 countsByYear W20189742112012 @default.
- W2018974211 countsByYear W20189742112013 @default.
- W2018974211 countsByYear W20189742112014 @default.
- W2018974211 countsByYear W20189742112020 @default.
- W2018974211 countsByYear W20189742112021 @default.
- W2018974211 countsByYear W20189742112022 @default.
- W2018974211 crossrefType "journal-article" @default.
- W2018974211 hasAuthorship W2018974211A5051244506 @default.
- W2018974211 hasAuthorship W2018974211A5063104515 @default.
- W2018974211 hasConcept C104317684 @default.
- W2018974211 hasConcept C10628310 @default.
- W2018974211 hasConcept C114614502 @default.
- W2018974211 hasConcept C134306372 @default.
- W2018974211 hasConcept C158448853 @default.
- W2018974211 hasConcept C17020691 @default.
- W2018974211 hasConcept C185592680 @default.
- W2018974211 hasConcept C201292218 @default.
- W2018974211 hasConcept C202444582 @default.
- W2018974211 hasConcept C207467116 @default.
- W2018974211 hasConcept C2524010 @default.
- W2018974211 hasConcept C2778112365 @default.
- W2018974211 hasConcept C33923547 @default.
- W2018974211 hasConcept C54355233 @default.
- W2018974211 hasConcept C55493867 @default.
- W2018974211 hasConcept C70915906 @default.
- W2018974211 hasConcept C86339819 @default.
- W2018974211 hasConcept C86803240 @default.
- W2018974211 hasConcept C90119067 @default.
- W2018974211 hasConcept C90673727 @default.
- W2018974211 hasConceptScore W2018974211C104317684 @default.
- W2018974211 hasConceptScore W2018974211C10628310 @default.
- W2018974211 hasConceptScore W2018974211C114614502 @default.
- W2018974211 hasConceptScore W2018974211C134306372 @default.
- W2018974211 hasConceptScore W2018974211C158448853 @default.
- W2018974211 hasConceptScore W2018974211C17020691 @default.
- W2018974211 hasConceptScore W2018974211C185592680 @default.
- W2018974211 hasConceptScore W2018974211C201292218 @default.
- W2018974211 hasConceptScore W2018974211C202444582 @default.
- W2018974211 hasConceptScore W2018974211C207467116 @default.
- W2018974211 hasConceptScore W2018974211C2524010 @default.
- W2018974211 hasConceptScore W2018974211C2778112365 @default.
- W2018974211 hasConceptScore W2018974211C33923547 @default.
- W2018974211 hasConceptScore W2018974211C54355233 @default.
- W2018974211 hasConceptScore W2018974211C55493867 @default.
- W2018974211 hasConceptScore W2018974211C70915906 @default.
- W2018974211 hasConceptScore W2018974211C86339819 @default.
- W2018974211 hasConceptScore W2018974211C86803240 @default.
- W2018974211 hasConceptScore W2018974211C90119067 @default.
- W2018974211 hasConceptScore W2018974211C90673727 @default.
- W2018974211 hasIssue "2" @default.
- W2018974211 hasLocation W20189742111 @default.
- W2018974211 hasOpenAccess W2018974211 @default.
- W2018974211 hasPrimaryLocation W20189742111 @default.
- W2018974211 hasRelatedWork W1964907177 @default.
- W2018974211 hasRelatedWork W1974657110 @default.
- W2018974211 hasRelatedWork W1979479658 @default.
- W2018974211 hasRelatedWork W2009896212 @default.
- W2018974211 hasRelatedWork W2063132333 @default.
- W2018974211 hasRelatedWork W2068483647 @default.
- W2018974211 hasRelatedWork W2084305857 @default.
- W2018974211 hasRelatedWork W2165237086 @default.
- W2018974211 hasRelatedWork W2964289859 @default.
- W2018974211 hasRelatedWork W4322207757 @default.
- W2018974211 hasVolume "88" @default.
- W2018974211 isParatext "false" @default.
- W2018974211 isRetracted "false" @default.
- W2018974211 magId "2018974211" @default.
- W2018974211 workType "article" @default.