Convergence of simultaneous Hermite-Padé approximants to then-tuple ofq-hypergeometric series $$\{ {}_1\Phi _1 (_{(c,\gamma _j )}^{(1,1)} ;z)\} _{j = 1}^n $$

Author:

De Bruin M. G.,Driver K. A.,Lubinsky D. S.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Reference13 articles.

1. J. Bustamente and G. Lopez, Hermite-Padé approximation to a Nikishin type system of analytic functions, submitted.

2. M.G. de Bruin, Simultaneous rational approximation to someq-hypergeometric functions, in:Nonlinear Numerical Methods and Rational Approximation, ed. A. Cuyt (Reidel, Dordrecht, 1988) pp. 135–142.

3. Lecture Notes in Mathematics;M.G. Bruin de,1984

4. M.G. de Bruin, K.A. Driver and D.S. Lubinsky, Convergence of simultaneous Hermite-Padé approximants to then-tuple ofq-hypergeometric series {2Φ0((A,α j ),(1,1);z)} j=1 n , to appear in J. Comp. Appl. Math.

5. K.A. Driver, Convergence of Padé approximants for someq-hypergeometric series (Wynn's Power Series I, II, III), Ph.D. Thesis, Johannesburg (1991).

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