Matches in SemOpenAlex for { <https://semopenalex.org/work/W2894988983> ?p ?o ?g. }
Showing items 1 to 63 of
63
with 100 items per page.
- W2894988983 abstract "The bispectral problem was posed by Duistermaat and Grunbaum in 1986. Since then, many interesting links of this problem with nonlinear integrable PDEs, algebraic geometry, orthogonal polynomials and special functions have been found. Bispectral operators of rank one are related to the KP equation and have been completely classified by G. Wilson. For rank greater than 1 some large families related to Bessel functions are known, although the classification problem remains open.If one generalises the bispectral problem by allowing difference operators in the spectral variable, then this has a clear parallel with the three-term recurrence relation in the theory of orthogonal polynomials. This differential-difference version of the bispectral problem has also been studied extensively, more recently in the context of the exceptional orthogonal polynomials. However, the associated special functions have not been treated in such a way, until now.In our work we make a step in that direction by constructing a large family of bispectral operators related to the hypergeometric equation. In this thesis, we will fully explain our construction." @default.
- W2894988983 created "2018-10-12" @default.
- W2894988983 creator A5038805992 @default.
- W2894988983 date "2018-06-18" @default.
- W2894988983 modified "2023-09-27" @default.
- W2894988983 title "Hypergeometric Equation and Differential-Difference Bispectrality" @default.
- W2894988983 hasPublicationYear "2018" @default.
- W2894988983 type Work @default.
- W2894988983 sameAs 2894988983 @default.
- W2894988983 citedByCount "0" @default.
- W2894988983 crossrefType "dissertation" @default.
- W2894988983 hasAuthorship W2894988983A5038805992 @default.
- W2894988983 hasConcept C10628310 @default.
- W2894988983 hasConcept C134306372 @default.
- W2894988983 hasConcept C136119220 @default.
- W2894988983 hasConcept C151730666 @default.
- W2894988983 hasConcept C197320386 @default.
- W2894988983 hasConcept C200741047 @default.
- W2894988983 hasConcept C202444582 @default.
- W2894988983 hasConcept C2779343474 @default.
- W2894988983 hasConcept C33923547 @default.
- W2894988983 hasConcept C70915906 @default.
- W2894988983 hasConcept C86803240 @default.
- W2894988983 hasConcept C93779851 @default.
- W2894988983 hasConceptScore W2894988983C10628310 @default.
- W2894988983 hasConceptScore W2894988983C134306372 @default.
- W2894988983 hasConceptScore W2894988983C136119220 @default.
- W2894988983 hasConceptScore W2894988983C151730666 @default.
- W2894988983 hasConceptScore W2894988983C197320386 @default.
- W2894988983 hasConceptScore W2894988983C200741047 @default.
- W2894988983 hasConceptScore W2894988983C202444582 @default.
- W2894988983 hasConceptScore W2894988983C2779343474 @default.
- W2894988983 hasConceptScore W2894988983C33923547 @default.
- W2894988983 hasConceptScore W2894988983C70915906 @default.
- W2894988983 hasConceptScore W2894988983C86803240 @default.
- W2894988983 hasConceptScore W2894988983C93779851 @default.
- W2894988983 hasLocation W28949889831 @default.
- W2894988983 hasOpenAccess W2894988983 @default.
- W2894988983 hasPrimaryLocation W28949889831 @default.
- W2894988983 hasRelatedWork W1508940440 @default.
- W2894988983 hasRelatedWork W1592387315 @default.
- W2894988983 hasRelatedWork W1663356416 @default.
- W2894988983 hasRelatedWork W2002661777 @default.
- W2894988983 hasRelatedWork W2005532956 @default.
- W2894988983 hasRelatedWork W2037610661 @default.
- W2894988983 hasRelatedWork W2060686681 @default.
- W2894988983 hasRelatedWork W2064766651 @default.
- W2894988983 hasRelatedWork W2064796674 @default.
- W2894988983 hasRelatedWork W2182537216 @default.
- W2894988983 hasRelatedWork W2291884406 @default.
- W2894988983 hasRelatedWork W2330527605 @default.
- W2894988983 hasRelatedWork W2477700348 @default.
- W2894988983 hasRelatedWork W2545722099 @default.
- W2894988983 hasRelatedWork W2612078125 @default.
- W2894988983 hasRelatedWork W2949860932 @default.
- W2894988983 hasRelatedWork W3090916312 @default.
- W2894988983 hasRelatedWork W3114615975 @default.
- W2894988983 hasRelatedWork W64688841 @default.
- W2894988983 hasRelatedWork W1542445414 @default.
- W2894988983 isParatext "false" @default.
- W2894988983 isRetracted "false" @default.
- W2894988983 magId "2894988983" @default.
- W2894988983 workType "dissertation" @default.