Matches in SemOpenAlex for { <https://semopenalex.org/work/W69213056> ?p ?o ?g. }
Showing items 1 to 86 of
86
with 100 items per page.
- W69213056 endingPage "660" @default.
- W69213056 startingPage "643" @default.
- W69213056 abstract "Let C be the extended complex plane; G ⊂ C a finite Jordan with 0 ∈ G; w= ϕ(z) the conformal mapping of G onto the disk $$B(0;varrho _0 ): = { w:|w| < varrho _0 }$$ normalized by $$varphi (0) = 0 {text{and}} varphi '(0) = 1$$ . Let us set $$varphi _p (z): = int_0^z {left[ {varphi '(zeta )} right]} ^{{raise0.7exhbox{$2$} !mathord{left/ {vphantom {2 p}}right.kern-nulldelimiterspace}!lower0.7exhbox{$p$}}} {text{d}}zeta$$ , and let $$pi _{n,p} (z)$$ be the generalized Bieberbach polynomial of degree n for the pair (G,0), which minimizes the integral $$iintlimits_G {left| {varphi '_p (z) - P'_n (z)} right|^p {text{d}}sigma _{text{z}} }$$ in the class of all polynomials of degree not exceeding ≤ n with $$P_n (0) = 0,{text{ }}P'_n (0) = 1$$ . In this paper we study the uniform convergence of the generalized Bieberbach polynomials $$pi _{n,p} (z){text{ to }}varphi _p (z){text{ on }}overline G$$ with interior and exterior zero angles and determine its dependence on the properties of boundary arcs and the degree of their tangency." @default.
- W69213056 created "2016-06-24" @default.
- W69213056 creator A5023419470 @default.
- W69213056 date "2001-09-01" @default.
- W69213056 modified "2023-10-17" @default.
- W69213056 title "Uniform Convergence of the Generalized Bieberbach Polynomials in Regions with Zero Angles" @default.
- W69213056 cites W1561974326 @default.
- W69213056 cites W1570630068 @default.
- W69213056 cites W1582129286 @default.
- W69213056 cites W1590577697 @default.
- W69213056 cites W1594962983 @default.
- W69213056 cites W1965238804 @default.
- W69213056 cites W1967047350 @default.
- W69213056 cites W1985721766 @default.
- W69213056 cites W1989952896 @default.
- W69213056 cites W2004478083 @default.
- W69213056 cites W2031074058 @default.
- W69213056 cites W2033122477 @default.
- W69213056 cites W2034463279 @default.
- W69213056 cites W2049069068 @default.
- W69213056 cites W2059038979 @default.
- W69213056 cites W2071049685 @default.
- W69213056 cites W2078755009 @default.
- W69213056 cites W2083079507 @default.
- W69213056 cites W2105148070 @default.
- W69213056 cites W2316418224 @default.
- W69213056 cites W2323181751 @default.
- W69213056 cites W2588992765 @default.
- W69213056 cites W2738021598 @default.
- W69213056 cites W3021909226 @default.
- W69213056 cites W634013248 @default.
- W69213056 doi "https://doi.org/10.1023/a:1013796308878" @default.
- W69213056 hasPublicationYear "2001" @default.
- W69213056 type Work @default.
- W69213056 sameAs 69213056 @default.
- W69213056 citedByCount "7" @default.
- W69213056 countsByYear W692130562012 @default.
- W69213056 countsByYear W692130562014 @default.
- W69213056 countsByYear W692130562018 @default.
- W69213056 crossrefType "journal-article" @default.
- W69213056 hasAuthorship W69213056A5023419470 @default.
- W69213056 hasBestOaLocation W692130562 @default.
- W69213056 hasConcept C114614502 @default.
- W69213056 hasConcept C121332964 @default.
- W69213056 hasConcept C134306372 @default.
- W69213056 hasConcept C138885662 @default.
- W69213056 hasConcept C24890656 @default.
- W69213056 hasConcept C2775997480 @default.
- W69213056 hasConcept C2780813799 @default.
- W69213056 hasConcept C33923547 @default.
- W69213056 hasConcept C41895202 @default.
- W69213056 hasConcept C62354387 @default.
- W69213056 hasConcept C90119067 @default.
- W69213056 hasConceptScore W69213056C114614502 @default.
- W69213056 hasConceptScore W69213056C121332964 @default.
- W69213056 hasConceptScore W69213056C134306372 @default.
- W69213056 hasConceptScore W69213056C138885662 @default.
- W69213056 hasConceptScore W69213056C24890656 @default.
- W69213056 hasConceptScore W69213056C2775997480 @default.
- W69213056 hasConceptScore W69213056C2780813799 @default.
- W69213056 hasConceptScore W69213056C33923547 @default.
- W69213056 hasConceptScore W69213056C41895202 @default.
- W69213056 hasConceptScore W69213056C62354387 @default.
- W69213056 hasConceptScore W69213056C90119067 @default.
- W69213056 hasIssue "3" @default.
- W69213056 hasLocation W692130561 @default.
- W69213056 hasLocation W692130562 @default.
- W69213056 hasOpenAccess W69213056 @default.
- W69213056 hasPrimaryLocation W692130561 @default.
- W69213056 hasRelatedWork W1729643479 @default.
- W69213056 hasRelatedWork W1980801980 @default.
- W69213056 hasRelatedWork W1989108847 @default.
- W69213056 hasRelatedWork W2039719992 @default.
- W69213056 hasRelatedWork W2109417337 @default.
- W69213056 hasRelatedWork W2257248723 @default.
- W69213056 hasRelatedWork W2906334755 @default.
- W69213056 hasRelatedWork W3104137792 @default.
- W69213056 hasRelatedWork W4235493211 @default.
- W69213056 hasRelatedWork W4289099277 @default.
- W69213056 hasVolume "51" @default.
- W69213056 isParatext "false" @default.
- W69213056 isRetracted "false" @default.
- W69213056 magId "69213056" @default.
- W69213056 workType "article" @default.