Matches in SemOpenAlex for { <https://semopenalex.org/work/W2248099424> ?p ?o ?g. }
Showing items 1 to 84 of
84
with 100 items per page.
- W2248099424 abstract "We obtain strong and uniform asymptotics in every domain of the complex plane for the scaled polynomials $a (3nz)$, $b (3nz)$, and $c (3nz)$ where $a$, $b$, and $c$ are the type II Hermite-Pad'e approximants to the exponential function of respective degrees $2n+2$, $2n$ and $2n$, defined by $a (z)e^{-z}-b (z)=O (z^{3n+2})$ and $a (z)e^{z}-c (z)={O}(z^{3n+2})$ as $zto 0$. Our analysis relies on a characterization of these polynomials in terms of a $3times 3$ matrix Riemann-Hilbert problem which, as a consequence of the famous Mahler relations, corresponds by a simple transformation to a similar Riemann-Hilbert problem for type I Hermite-Pad'e approximants. Due to this relation, the study that was performed in previous work, based on the Deift-Zhou steepest descent method for Riemann-Hilbert problems, can be reused to establish our present results." @default.
- W2248099424 created "2016-06-24" @default.
- W2248099424 creator A5008783536 @default.
- W2248099424 creator A5036089877 @default.
- W2248099424 creator A5044081911 @default.
- W2248099424 creator A5086760393 @default.
- W2248099424 date "2005-10-13" @default.
- W2248099424 modified "2023-09-26" @default.
- W2248099424 title "Type II Hermite-Pad'e approximation to the exponential function" @default.
- W2248099424 cites W1849351762 @default.
- W2248099424 cites W1968387045 @default.
- W2248099424 cites W2018529115 @default.
- W2248099424 cites W203651634 @default.
- W2248099424 cites W2055345571 @default.
- W2248099424 cites W2057817591 @default.
- W2248099424 cites W2059492457 @default.
- W2248099424 cites W2062565740 @default.
- W2248099424 cites W2083259969 @default.
- W2248099424 cites W2227590129 @default.
- W2248099424 cites W2282140813 @default.
- W2248099424 cites W2334260163 @default.
- W2248099424 cites W592374772 @default.
- W2248099424 doi "https://doi.org/10.48550/arxiv.math/0510278" @default.
- W2248099424 hasPublicationYear "2005" @default.
- W2248099424 type Work @default.
- W2248099424 sameAs 2248099424 @default.
- W2248099424 citedByCount "2" @default.
- W2248099424 countsByYear W22480994242014 @default.
- W2248099424 crossrefType "posted-content" @default.
- W2248099424 hasAuthorship W2248099424A5008783536 @default.
- W2248099424 hasAuthorship W2248099424A5036089877 @default.
- W2248099424 hasAuthorship W2248099424A5044081911 @default.
- W2248099424 hasAuthorship W2248099424A5086760393 @default.
- W2248099424 hasBestOaLocation W22480994241 @default.
- W2248099424 hasConcept C103642545 @default.
- W2248099424 hasConcept C104317684 @default.
- W2248099424 hasConcept C134306372 @default.
- W2248099424 hasConcept C151376022 @default.
- W2248099424 hasConcept C158847443 @default.
- W2248099424 hasConcept C179117685 @default.
- W2248099424 hasConcept C185592680 @default.
- W2248099424 hasConcept C18903297 @default.
- W2248099424 hasConcept C201362023 @default.
- W2248099424 hasConcept C202444582 @default.
- W2248099424 hasConcept C204241405 @default.
- W2248099424 hasConcept C2777299769 @default.
- W2248099424 hasConcept C33923547 @default.
- W2248099424 hasConcept C36503486 @default.
- W2248099424 hasConcept C55493867 @default.
- W2248099424 hasConcept C86803240 @default.
- W2248099424 hasConceptScore W2248099424C103642545 @default.
- W2248099424 hasConceptScore W2248099424C104317684 @default.
- W2248099424 hasConceptScore W2248099424C134306372 @default.
- W2248099424 hasConceptScore W2248099424C151376022 @default.
- W2248099424 hasConceptScore W2248099424C158847443 @default.
- W2248099424 hasConceptScore W2248099424C179117685 @default.
- W2248099424 hasConceptScore W2248099424C185592680 @default.
- W2248099424 hasConceptScore W2248099424C18903297 @default.
- W2248099424 hasConceptScore W2248099424C201362023 @default.
- W2248099424 hasConceptScore W2248099424C202444582 @default.
- W2248099424 hasConceptScore W2248099424C204241405 @default.
- W2248099424 hasConceptScore W2248099424C2777299769 @default.
- W2248099424 hasConceptScore W2248099424C33923547 @default.
- W2248099424 hasConceptScore W2248099424C36503486 @default.
- W2248099424 hasConceptScore W2248099424C55493867 @default.
- W2248099424 hasConceptScore W2248099424C86803240 @default.
- W2248099424 hasLocation W22480994241 @default.
- W2248099424 hasLocation W22480994242 @default.
- W2248099424 hasOpenAccess W2248099424 @default.
- W2248099424 hasPrimaryLocation W22480994241 @default.
- W2248099424 hasRelatedWork W1967156681 @default.
- W2248099424 hasRelatedWork W2074005682 @default.
- W2248099424 hasRelatedWork W2079219004 @default.
- W2248099424 hasRelatedWork W2143651385 @default.
- W2248099424 hasRelatedWork W2248099424 @default.
- W2248099424 hasRelatedWork W2326040725 @default.
- W2248099424 hasRelatedWork W2469445493 @default.
- W2248099424 hasRelatedWork W2997777922 @default.
- W2248099424 hasRelatedWork W3158860984 @default.
- W2248099424 hasRelatedWork W4287990480 @default.
- W2248099424 isParatext "false" @default.
- W2248099424 isRetracted "false" @default.
- W2248099424 magId "2248099424" @default.
- W2248099424 workType "article" @default.