Explicit representations of faber polynomials for m-cusped hypocycloids

被引:7
作者
He, MX
机构
[1] Department of Mathematics, Nova Southeastern University, Ft. Lauderdale
关键词
D O I
10.1006/jath.1996.0096
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let F-n(z) be Faber polynomials associated with an m-cusped hypocycloid. We derive an explicit algebraic expression for F-n(z) via a Cauchy integral formula. Using a differential equation of Fn(z), we precisely represent F-n(z) in terms of generalized hypergeometric Functions. (C) 1996 Academic Press, Inc.
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页码:137 / 147
页数:11
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