On the Domain of Convergence and Poles of ComplexJ-Fractions

Journal of Approximation Theory

Volumn 93, Issue 2, 1998, Pages 177-200

  Barrios Rolania D ^a   Lopez Lagomasino G ^a   Martinez Finkelshtein A ^a   Torrano Gimenez E ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000864053     PISSN: 00219045     EISSN: None     Source Type: Journal    
DOI: 10.1006/jath.1998.3165     Document Type: Article

References (13)

1. Akhiezer N. I. The Classical Moment Problem. 1965;Oliver & Boyd, London.
2. Barrios D., López G., Torrano E. Location of zeros and asymptotics of polynomials satisfying three-term recurrence relations with complex coefficients. Mat. Sb. 184:1993;63-92.
3. Barrios D., López G., Torrano E. Polynomials generated by a three-term recurrence relation with asymptotically periodic complex coefficients. Mat. Sb. 186:1995;3-34.
4. D. Barrios, G. López, A. Martínez, E. Torrano, Finite-dimensional approximation of the resolvent of an infinite band matrix and continued fractions, Mat. Sb.
5. Brézis H. Análisis Funcional. 1984;Alianza Universidad, Madrid.
6. Gohberg I., Goldberg S., Kaashoek M. A. Classes of Linear Operators. 1990;Birkhäuser, Berlin.
7. Gonchar A. A., Lungu K. N. Poles of diagonal Padé approximants and the analytic continuation of functions. Mat. Sb. 111:1980;279-292.
8. Gonchar A. A. On uniform convergence of diagonal Padé approximants. Mat. Sb. 118:1982;535-556.
9. Gonchar A. A. Poles of rows of the Padé table and the meromorphic continuation of functions. Mat. Sb. 157:1981;590-613.
10. López G., Vavilov V. V. Survey on recent advances in inverse problems of Padé approximation theory. Proc. of the Conf. on Rat. Approx. and Interpolation, Tampa, 1983. Lecture Notes in Math. 1105:1984;Springer-Verlag, Berlin. p. 11-26.
11. Stieltjes T. J. Recherches sur les fractions continues. Ann. Fac. Sci. Toulouse. 8:1984;1-122.
12. Van Assche W. Orthogonal polynomials, associated polynomials and functions of the second kind. J. Comput. Appl. Math. 37:1991;237-249.
13. Wall H. S. Analytic Theory of Continued Fractions. 1973;Chelsea, New York.