Matches in SemOpenAlex for { <https://semopenalex.org/work/W2963752488> ?p ?o ?g. }
Showing items 1 to 74 of
74
with 100 items per page.
- W2963752488 endingPage "361" @default.
- W2963752488 startingPage "347" @default.
- W2963752488 abstract "In the enduring, fruitful research on spectral differential equations with polynomial eigenfunctions, Koornwinder's generalized Laguerre polynomials are playing a prominent role. Being orthogonal on the positive half-line with respect to the Laguerre weight and an additional point mass N>0 at the origin, these polynomials satisfy, for any α∈N0, a linear differential equation of order 2α+4. In the present paper we establish a new elementary representation of the corresponding 'Laguerre-type' differential operator and show its symmetry with respect to the underlying weighted scalar product. Furthermore, we discuss various other representations of the operator, mainly given in factorized form, and show their equivalence. Finally, by applying a limiting process to the Laguerre-type equation, we deduce new elementary representations for the higher-order differential equation satisfied by the Bessel-type functions on the positive half-line." @default.
- W2963752488 created "2019-07-30" @default.
- W2963752488 creator A5040247763 @default.
- W2963752488 date "2019-01-25" @default.
- W2963752488 modified "2023-10-17" @default.
- W2963752488 title "On the higher-order differential equations for the generalized Laguerre polynomials and Bessel functions" @default.
- W2963752488 cites W1606810440 @default.
- W2963752488 cites W1968953397 @default.
- W2963752488 cites W1970539856 @default.
- W2963752488 cites W1995545739 @default.
- W2963752488 cites W2010420753 @default.
- W2963752488 cites W2015628309 @default.
- W2963752488 cites W2069876437 @default.
- W2963752488 cites W2113673871 @default.
- W2963752488 cites W2150943070 @default.
- W2963752488 cites W2608442354 @default.
- W2963752488 cites W2609736145 @default.
- W2963752488 doi "https://doi.org/10.1080/10652469.2019.1572137" @default.
- W2963752488 hasPublicationYear "2019" @default.
- W2963752488 type Work @default.
- W2963752488 sameAs 2963752488 @default.
- W2963752488 citedByCount "5" @default.
- W2963752488 countsByYear W29637524882018 @default.
- W2963752488 countsByYear W29637524882019 @default.
- W2963752488 countsByYear W29637524882021 @default.
- W2963752488 countsByYear W29637524882022 @default.
- W2963752488 countsByYear W29637524882023 @default.
- W2963752488 crossrefType "journal-article" @default.
- W2963752488 hasAuthorship W2963752488A5040247763 @default.
- W2963752488 hasBestOaLocation W29637524882 @default.
- W2963752488 hasConcept C10628310 @default.
- W2963752488 hasConcept C108408018 @default.
- W2963752488 hasConcept C134306372 @default.
- W2963752488 hasConcept C202444582 @default.
- W2963752488 hasConcept C21736991 @default.
- W2963752488 hasConcept C33923547 @default.
- W2963752488 hasConcept C43176163 @default.
- W2963752488 hasConcept C43475892 @default.
- W2963752488 hasConcept C70915906 @default.
- W2963752488 hasConcept C73295869 @default.
- W2963752488 hasConcept C78045399 @default.
- W2963752488 hasConceptScore W2963752488C10628310 @default.
- W2963752488 hasConceptScore W2963752488C108408018 @default.
- W2963752488 hasConceptScore W2963752488C134306372 @default.
- W2963752488 hasConceptScore W2963752488C202444582 @default.
- W2963752488 hasConceptScore W2963752488C21736991 @default.
- W2963752488 hasConceptScore W2963752488C33923547 @default.
- W2963752488 hasConceptScore W2963752488C43176163 @default.
- W2963752488 hasConceptScore W2963752488C43475892 @default.
- W2963752488 hasConceptScore W2963752488C70915906 @default.
- W2963752488 hasConceptScore W2963752488C73295869 @default.
- W2963752488 hasConceptScore W2963752488C78045399 @default.
- W2963752488 hasIssue "5" @default.
- W2963752488 hasLocation W29637524881 @default.
- W2963752488 hasLocation W29637524882 @default.
- W2963752488 hasOpenAccess W2963752488 @default.
- W2963752488 hasPrimaryLocation W29637524881 @default.
- W2963752488 hasRelatedWork W1604990541 @default.
- W2963752488 hasRelatedWork W1964297971 @default.
- W2963752488 hasRelatedWork W1981129359 @default.
- W2963752488 hasRelatedWork W1996117552 @default.
- W2963752488 hasRelatedWork W2052165339 @default.
- W2963752488 hasRelatedWork W2093933749 @default.
- W2963752488 hasRelatedWork W2741496100 @default.
- W2963752488 hasRelatedWork W2963752488 @default.
- W2963752488 hasRelatedWork W4299840974 @default.
- W2963752488 hasRelatedWork W4301054970 @default.
- W2963752488 hasVolume "30" @default.
- W2963752488 isParatext "false" @default.
- W2963752488 isRetracted "false" @default.
- W2963752488 magId "2963752488" @default.
- W2963752488 workType "article" @default.