Incomplete rational approximation in the complex plane

DOI10.1007/BF01294340zbMath0820.41013MaRDI QIDQ1891957

Peter B. Borwein, Weiyu Chen

Publication date: 6 September 1995

Published in: Constructive Approximation (Search for Journal in Brave)

zbMATH Keywords

Padé approximationzerossteepest descentpolesincomplete polynomialsincomplete rationals

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Approximation by rational functions (41A20) Padé approximation (41A21) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15)

Related Items

Weighted polynomial approximation in the complex plane, Asymptotic distributions of the zeros of certain classes of Gauss hypergeometric polynomials, Asymptotic zero distribution of a class of \(_{3}F_{2}\) hypergeometric functions, The Szego curve, zero distribution and weighted approximation, Zeros of the hypergeometric polynomials \(F(-n,b;2b;z)\), On a problem of A. Eremenko, Asymptotic properties of zeros of hypergeometric polynomials, Asymptotic distributions of the zeros of a family of hypergeometric polynomials, Zeros of hypergeometric functions, Weighted rational approximation in the complex plane

Cites Work

• On the zeros and poles of Padè approximants to \(e^z\). III
• On the zeros and poles of Padé approximants to \(e^z\)
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