Convergence of simultaneous Hermite-Padé approximants to the \(n\)-tuple of \(q\)-hypergeometric series \(\{_ 2\Phi_ 0((A,\alpha_ j), (1,1);z)\}_{j=1}^ n\)

DOI10.1016/0377-0427(93)90132-UzbMath0794.65015OpenAlexW2158214820MaRDI QIDQ1318385

Marcel G. de Bruin, Kathy A. Driver, Doron S. Lubinsky

Publication date: 27 April 1994

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(93)90132-u

zbMATH Keywords

convergence\(q\)-hypergeometric seriessimultaneous Hermite-Padé approximants

Mathematics Subject Classification ID

Padé approximation (41A21) Computation of special functions and constants, construction of tables (65D20) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Simultaneous approximation (41A28)

Related Items (1)

Convergence of simultaneous Hermite-Padé approximants to the \(n\)-tuple of \(q\)-hypergeometric series \(\{_ 1\Phi_ 1 (_{c,\gamma_ j}^{(1,1)};z)\}_{j=1}^ n\)

Cites Work

• 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)
• Irregular distribution of \(\{n\beta{}\} \), \(n=1,2,3,\)\dots , quadrature of singular integrands, and curious basic hypergeometric series
• Fourier-Stieltjes Series of Walsh Functions
• ON SIMULTANEOUS PADÉ APPROXIMANTS
• HERMITE-PADÉ APPROXIMATION FOR NIKISHIN SYSTEMS OF ANALYTIC FUNCTIONS
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