Open AccessOn the Asymptotic Behavior of p-Faber Polynomials for Domains with Piecewise Analytic Boundary
Author(s) -
Tuncay Tunç,
Mehmet Küçükaslan
Publication year - 2011
Publication title -
isrn applied mathematics
Language(s) - English
Resource type - Journals
eISSN - 2090-5572
pISSN - 2090-5564
DOI - 10.5402/2011/263657
Subject(s) - piecewise , mathematics , bounded function , boundary (topology) , domain (mathematical analysis) , pure mathematics , relation (database) , mathematical analysis , combinatorics , computer science , database
Let be a domain bounded by a piecewise analytic Jordan's curve L , and let denote the p -Faber polynomials associated with G . Wederive estimates of the form , for , where depends on geometric properties of L and the parameter p . Also, we show that O cannot be replaced by o in the relation given above.
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