Matches in SemOpenAlex for { <https://semopenalex.org/work/W3100641546> ?p ?o ?g. }
- W3100641546 endingPage "35" @default.
- W3100641546 startingPage "5" @default.
- W3100641546 abstract "We show that the method of separation of variables gives a natural generalization of integral relations for classical special functions of one variable. The approach is illustrated by giving a new proof of the “quadratic” integral relations for the continuous q-ultraspherical polynomials. The separating integral operator M expressed in terms of the Askey-Wilson operator is studied in detail: apart from writing down the characteristic (“separation”) equations it satisfies, we find its spectrum, eigenfunctions, inversion, invariants (invariant q-difference operators), and give its interpretation as a fractional q-integration operator. We also give expansions of the A1 Macdonald polynomials into the eigenfunctions of the separating operator M and vice versa." @default.
- W3100641546 created "2020-11-23" @default.
- W3100641546 creator A5016840050 @default.
- W3100641546 creator A5022978851 @default.
- W3100641546 date "1999-01-01" @default.
- W3100641546 modified "2023-10-15" @default.
- W3100641546 cites W115164264 @default.
- W3100641546 cites W1267663811 @default.
- W3100641546 cites W1486226454 @default.
- W3100641546 cites W1487859867 @default.
- W3100641546 cites W1489227045 @default.
- W3100641546 cites W1497293493 @default.
- W3100641546 cites W1536935890 @default.
- W3100641546 cites W1543913173 @default.
- W3100641546 cites W1654411218 @default.
- W3100641546 cites W1913840706 @default.
- W3100641546 cites W1952568655 @default.
- W3100641546 cites W1964035618 @default.
- W3100641546 cites W1965847964 @default.
- W3100641546 cites W1972542061 @default.
- W3100641546 cites W1976419949 @default.
- W3100641546 cites W1989394147 @default.
- W3100641546 cites W1992366741 @default.
- W3100641546 cites W1997302356 @default.
- W3100641546 cites W2003115626 @default.
- W3100641546 cites W2008052995 @default.
- W3100641546 cites W2012498649 @default.
- W3100641546 cites W2013206718 @default.
- W3100641546 cites W2029357641 @default.
- W3100641546 cites W2032922003 @default.
- W3100641546 cites W2033073743 @default.
- W3100641546 cites W2047768782 @default.
- W3100641546 cites W2050527239 @default.
- W3100641546 cites W2052433351 @default.
- W3100641546 cites W2054122839 @default.
- W3100641546 cites W2068278623 @default.
- W3100641546 cites W2070179597 @default.
- W3100641546 cites W2074176412 @default.
- W3100641546 cites W2074446140 @default.
- W3100641546 cites W2076329238 @default.
- W3100641546 cites W2077336599 @default.
- W3100641546 cites W2080726719 @default.
- W3100641546 cites W2083734282 @default.
- W3100641546 cites W2098013146 @default.
- W3100641546 cites W2104795593 @default.
- W3100641546 cites W2115590634 @default.
- W3100641546 cites W2118081279 @default.
- W3100641546 cites W2119573410 @default.
- W3100641546 cites W2128633210 @default.
- W3100641546 cites W2130613569 @default.
- W3100641546 cites W2134984950 @default.
- W3100641546 cites W2135488645 @default.
- W3100641546 cites W2145201786 @default.
- W3100641546 cites W2148885158 @default.
- W3100641546 cites W2150303942 @default.
- W3100641546 cites W2156140120 @default.
- W3100641546 cites W2312410307 @default.
- W3100641546 cites W2333099294 @default.
- W3100641546 cites W3037761614 @default.
- W3100641546 cites W3046782287 @default.
- W3100641546 cites W3124313224 @default.
- W3100641546 cites W45833573 @default.
- W3100641546 cites W97436512 @default.
- W3100641546 doi "https://doi.org/10.1023/a:1009880307186" @default.
- W3100641546 hasPublicationYear "1999" @default.
- W3100641546 type Work @default.
- W3100641546 sameAs 3100641546 @default.
- W3100641546 citedByCount "9" @default.
- W3100641546 crossrefType "journal-article" @default.
- W3100641546 hasAuthorship W3100641546A5016840050 @default.
- W3100641546 hasAuthorship W3100641546A5022978851 @default.
- W3100641546 hasBestOaLocation W31006415462 @default.
- W3100641546 hasConcept C104317684 @default.
- W3100641546 hasConcept C121332964 @default.
- W3100641546 hasConcept C128803854 @default.
- W3100641546 hasConcept C134306372 @default.
- W3100641546 hasConcept C136119220 @default.
- W3100641546 hasConcept C158448853 @default.
- W3100641546 hasConcept C158693339 @default.
- W3100641546 hasConcept C159722891 @default.
- W3100641546 hasConcept C17020691 @default.
- W3100641546 hasConcept C185592680 @default.
- W3100641546 hasConcept C190470478 @default.
- W3100641546 hasConcept C202444582 @default.
- W3100641546 hasConcept C33923547 @default.
- W3100641546 hasConcept C37914503 @default.
- W3100641546 hasConcept C55493867 @default.
- W3100641546 hasConcept C62520636 @default.
- W3100641546 hasConcept C86339819 @default.
- W3100641546 hasConcept C93779851 @default.
- W3100641546 hasConceptScore W3100641546C104317684 @default.
- W3100641546 hasConceptScore W3100641546C121332964 @default.
- W3100641546 hasConceptScore W3100641546C128803854 @default.
- W3100641546 hasConceptScore W3100641546C134306372 @default.
- W3100641546 hasConceptScore W3100641546C136119220 @default.
- W3100641546 hasConceptScore W3100641546C158448853 @default.
- W3100641546 hasConceptScore W3100641546C158693339 @default.
- W3100641546 hasConceptScore W3100641546C159722891 @default.