An extension to rational functions of a theorem of J. L. Walsh on differences of interpolating polynomials
RAIRO. Analyse numérique, Tome 15 (1981) no. 4, pp. 371-390. 
@article{M2AN_1981__15_4_371_0,
     author = {Saff, E. B. and Sharma, A. and Varga, R. S.},
     title = {An extension to rational functions of a theorem of {J.} {L.} {Walsh} on differences of interpolating polynomials},
     journal = {RAIRO. Analyse num\'erique},
     pages = {371--390},
     publisher = {Centrale des revues, Dunod-Gauthier-Villars},
     address = {Montreuil},
     volume = {15},
     number = {4},
     year = {1981},
     mrnumber = {642498},
     zbl = {0485.41003},
     language = {en},
     url = {http://archive.numdam.org/item/M2AN_1981__15_4_371_0/}
}
TY  - JOUR
AU  - Saff, E. B.
AU  - Sharma, A.
AU  - Varga, R. S.
TI  - An extension to rational functions of a theorem of J. L. Walsh on differences of interpolating polynomials
JO  - RAIRO. Analyse numérique
PY  - 1981
SP  - 371
EP  - 390
VL  - 15
IS  - 4
PB  - Centrale des revues, Dunod-Gauthier-Villars
PP  - Montreuil
UR  - http://archive.numdam.org/item/M2AN_1981__15_4_371_0/
LA  - en
ID  - M2AN_1981__15_4_371_0
ER  - 
%0 Journal Article
%A Saff, E. B.
%A Sharma, A.
%A Varga, R. S.
%T An extension to rational functions of a theorem of J. L. Walsh on differences of interpolating polynomials
%J RAIRO. Analyse numérique
%D 1981
%P 371-390
%V 15
%N 4
%I Centrale des revues, Dunod-Gauthier-Villars
%C Montreuil
%U http://archive.numdam.org/item/M2AN_1981__15_4_371_0/
%G en
%F M2AN_1981__15_4_371_0
Saff, E. B.; Sharma, A.; Varga, R. S. An extension to rational functions of a theorem of J. L. Walsh on differences of interpolating polynomials. RAIRO. Analyse numérique, Tome 15 (1981) no. 4, pp. 371-390. http://archive.numdam.org/item/M2AN_1981__15_4_371_0/

[1] G. A. Baker Jr., Essentials of Padé Approximants, Academic Press, Inc., NewYork, 1974. | Zbl

[2] A. S. Cavaretta Jr., A. Sharma and R. S. Varga, Interpolation in the roots of unity : an extension of a Theorem of I. L. Walsh, Resultate der Mathematik, 3 (1981), 155-191. | Zbl

[3] R. De Montessus De Ballore, > Sur les fractions continues algébriques, Bull. Soc. Math. France, 30 (1902), 28-36. | JFM | Numdam | MR

[4] O. Perron, Die Lehre von den Kettenbrüchen, 3rd ed., B. G. Teubner, Stuttgart, 1957. | MR | Zbl

[5] E. B. Saff, An extension of Montessus de Ballore's Theorem on the convergence of interpolating rational functions, J. Approximation Theory, 6 (1972), 63-67. | MR | Zbl

[6] V. I. Smirnov and N. A. Lebedev, Functions of a Complex Variable, Constructive Theory, Iliffe Books Ltd., London, 1968. | MR | Zbl

[7] J. L. Walsh, The divergence of sequences of polynomials interpolating in roots of unity, Bull. Amer. Math. Soc, 42 (1936), 715-719. | JFM | MR

[8] J. L. Walsh, Interpolation and Approximation by Rational Functions in the Comple Domain, 5th éd., Colloq. Publ. Vol. 20, American Mathematical Society, Providence, R.I., 1969. | MR | Zbl

[9] D. D. Warner, An extension of Saffs Theorem on the convergence of interpolating rational functions, J. Approximation Theory, 18 (1976), 108-418. | MR | Zbl