Convergence of simultaneous Hermite-Padé approximants to the \(n\)-tuple of \(q\)-hypergeometric series \(\{_ 1\Phi_ 1 (_{c,\gamma_ j}^{(1,1)};z)\}_{j=1}^ n\)
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Publication:688114
DOI10.1007/BF02141927zbMath0786.33010OpenAlexW2323183017MaRDI QIDQ688114
Marcel G. de Bruin, Kathy A. Driver, Doron S. Lubinsky
Publication date: 8 May 1994
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02141927
Approximation in the complex plane (30E10) Padé approximation (41A21) Basic hypergeometric functions (33D99)
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Cites Work
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- Convergence of Padé approximants of partial theta functions and the Rogers-Szegö polynomials
- Convergence of Padé approximants for a \(q\)-hypergeometric series (Wynn's power series I)
- Convergence of simultaneous Hermite-Padé approximants to the \(n\)-tuple of \(q\)-hypergeometric series \(\{_ 2\Phi_ 0((A,\alpha_ j), (1,1);z)\}_{j=1}^ n\)
- ON SIMULTANEOUS PADÉ APPROXIMANTS
- A GENERAL SYSTEM OF ORTHOGONAL POLYNOMIALS
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