Matches in SemOpenAlex for { <https://semopenalex.org/work/W2898099998> ?p ?o ?g. }
Showing items 1 to 90 of
90
with 100 items per page.
- W2898099998 endingPage "2597" @default.
- W2898099998 startingPage "2583" @default.
- W2898099998 abstract "In this note, we investigate the large-$n$ behavior of the associated Pollaczek polynomials $P_{n}^{lambda }left (z;a,b,cright )$. These polynomials involve four real parameters $lambda$, $a$, $b$, and $c$, in addition to the complex variable $z$. Asymptotic formulas are derived for these polynomials, when $z$ lies in the complex plane bounded away from the interval of orthogonality $left (-1,1right )$, as well as in the interior of the interval of orthogonality. In the process of studying the asymptotic behavior of these polynomials when $zin mathbb {C}setminus [-1,1]$, we found that the existing representations of $P_{n}^{lambda }left (z;a,b,cright )$ do not provide useful information about their large-$n$ asymptotics. Here, we present a new representation in terms of the Gauss hypergeometric functions, from which the large-$n$ asymptotics for $z$ in $mathbb {C}setminus [-1,1]$ can be readily obtained. The asymptotic approximation in the interior of the interval of orthogonality is obtained by using asymptotic theory for difference equations." @default.
- W2898099998 created "2018-11-02" @default.
- W2898099998 creator A5021077353 @default.
- W2898099998 creator A5057189273 @default.
- W2898099998 date "2019-02-20" @default.
- W2898099998 modified "2023-10-18" @default.
- W2898099998 title "Asymptotics of the associated Pollaczek polynomials" @default.
- W2898099998 cites W1975353353 @default.
- W2898099998 cites W1991870521 @default.
- W2898099998 cites W1992536670 @default.
- W2898099998 cites W2011553910 @default.
- W2898099998 cites W2024259668 @default.
- W2898099998 cites W2024442279 @default.
- W2898099998 cites W2037213994 @default.
- W2898099998 cites W2049614325 @default.
- W2898099998 cites W2051160630 @default.
- W2898099998 cites W2067311143 @default.
- W2898099998 cites W2081040494 @default.
- W2898099998 cites W2102591969 @default.
- W2898099998 cites W2122180818 @default.
- W2898099998 cites W2270559692 @default.
- W2898099998 cites W2598153263 @default.
- W2898099998 cites W2980671223 @default.
- W2898099998 cites W3038165843 @default.
- W2898099998 cites W3099669855 @default.
- W2898099998 cites W849440544 @default.
- W2898099998 doi "https://doi.org/10.1090/proc/14405" @default.
- W2898099998 hasPublicationYear "2019" @default.
- W2898099998 type Work @default.
- W2898099998 sameAs 2898099998 @default.
- W2898099998 citedByCount "7" @default.
- W2898099998 countsByYear W28980999982018 @default.
- W2898099998 countsByYear W28980999982019 @default.
- W2898099998 countsByYear W28980999982020 @default.
- W2898099998 countsByYear W28980999982021 @default.
- W2898099998 crossrefType "journal-article" @default.
- W2898099998 hasAuthorship W2898099998A5021077353 @default.
- W2898099998 hasAuthorship W2898099998A5057189273 @default.
- W2898099998 hasBestOaLocation W28980999981 @default.
- W2898099998 hasConcept C10628310 @default.
- W2898099998 hasConcept C114614502 @default.
- W2898099998 hasConcept C121332964 @default.
- W2898099998 hasConcept C134306372 @default.
- W2898099998 hasConcept C17137986 @default.
- W2898099998 hasConcept C176671685 @default.
- W2898099998 hasConcept C179117685 @default.
- W2898099998 hasConcept C197320386 @default.
- W2898099998 hasConcept C202444582 @default.
- W2898099998 hasConcept C2524010 @default.
- W2898099998 hasConcept C2778067643 @default.
- W2898099998 hasConcept C2778113609 @default.
- W2898099998 hasConcept C33923547 @default.
- W2898099998 hasConcept C34388435 @default.
- W2898099998 hasConcept C62520636 @default.
- W2898099998 hasConceptScore W2898099998C10628310 @default.
- W2898099998 hasConceptScore W2898099998C114614502 @default.
- W2898099998 hasConceptScore W2898099998C121332964 @default.
- W2898099998 hasConceptScore W2898099998C134306372 @default.
- W2898099998 hasConceptScore W2898099998C17137986 @default.
- W2898099998 hasConceptScore W2898099998C176671685 @default.
- W2898099998 hasConceptScore W2898099998C179117685 @default.
- W2898099998 hasConceptScore W2898099998C197320386 @default.
- W2898099998 hasConceptScore W2898099998C202444582 @default.
- W2898099998 hasConceptScore W2898099998C2524010 @default.
- W2898099998 hasConceptScore W2898099998C2778067643 @default.
- W2898099998 hasConceptScore W2898099998C2778113609 @default.
- W2898099998 hasConceptScore W2898099998C33923547 @default.
- W2898099998 hasConceptScore W2898099998C34388435 @default.
- W2898099998 hasConceptScore W2898099998C62520636 @default.
- W2898099998 hasIssue "6" @default.
- W2898099998 hasLocation W28980999981 @default.
- W2898099998 hasOpenAccess W2898099998 @default.
- W2898099998 hasPrimaryLocation W28980999981 @default.
- W2898099998 hasRelatedWork W1992297358 @default.
- W2898099998 hasRelatedWork W2001377265 @default.
- W2898099998 hasRelatedWork W2089703918 @default.
- W2898099998 hasRelatedWork W2783960939 @default.
- W2898099998 hasRelatedWork W2799961194 @default.
- W2898099998 hasRelatedWork W2805026555 @default.
- W2898099998 hasRelatedWork W2898099998 @default.
- W2898099998 hasRelatedWork W3098604469 @default.
- W2898099998 hasRelatedWork W4308758538 @default.
- W2898099998 hasRelatedWork W4381949898 @default.
- W2898099998 hasVolume "147" @default.
- W2898099998 isParatext "false" @default.
- W2898099998 isRetracted "false" @default.
- W2898099998 magId "2898099998" @default.
- W2898099998 workType "article" @default.