Convergence of Padé approximants of partial theta functions and the Rogers-Szegö polynomials

Author:

Lubinsky D. S.,Saff E. B.

Publisher

Springer Science and Business Media LLC

Subject

Computational Mathematics,General Mathematics,Analysis

Reference45 articles.

1. G. E. Andrews (1981):Ramanujan's “lost” notebook I. Partial θ-functions. Adv. in Math.,41:137–172.

2. R. Askey, M. E. H. Ismail (1984):Recurrence relations, continued fractions and orthogonal polynomials. Mem. Amer. Math. Soc.,49 (300).

3. G. A. Baker, Jr. (1975): Essentials of Padé Approximants. New York: Academic Press.

4. G. A. Baker Jr., P. R. Graves-Morris (1981): Padé Approximants, Part I: Basic Theory. Encyclopedia of Mathematics and Its Applications, vol. 13. Reading: Addison-Wesley.

5. M. B. Balk (1960):The Padé interpolation process for certain analytic functions. In: Issledovaniya po sovremennym problemam teorii funkcii kompleksnogo peremennogo. Moscow: Gosdartsv. Izdat. Fiz.-Mat. Lit., pp. 234–257. (Abstract: see Zbl, 173 (1969), 73; MR;22 (1961), No. 9780.)

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