Geodesic
On an inverse problem for the rows of a Padé table
Sbornik. Mathematics, Tome 38 (1981) no. 1, pp. 109-118 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

In this paper an inverse theorem relating to the rows of a Padé table is proved. Bibliography: 11 titles. 
@article{SM_1981_38_1_a7,
     author = {V. V. Vavilov and G. L. Lopes and V. A. Prokhorov},
     title = {On an inverse problem for the rows of {a~Pad\'e} table},
     journal = {Sbornik. Mathematics},
     pages = {109--118},
     year = {1981},
     volume = {38},
     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1981_38_1_a7/}
}
TY  - JOUR
AU  - V. V. Vavilov
AU  - G. L. Lopes
AU  - V. A. Prokhorov
TI  - On an inverse problem for the rows of a Padé table
JO  - Sbornik. Mathematics
PY  - 1981
SP  - 109
EP  - 118
VL  - 38
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/SM_1981_38_1_a7/
LA  - en
ID  - SM_1981_38_1_a7
ER  - 
%0 Journal Article
%A V. V. Vavilov
%A G. L. Lopes
%A V. A. Prokhorov
%T On an inverse problem for the rows of a Padé table
%J Sbornik. Mathematics
%D 1981
%P 109-118
%V 38
%N 1
%U http://geodesic.mathdoc.fr/item/SM_1981_38_1_a7/
%G en
%F SM_1981_38_1_a7
V. V. Vavilov; G. L. Lopes; V. A. Prokhorov. On an inverse problem for the rows of a Padé table. Sbornik. Mathematics, Tome 38 (1981) no. 1, pp. 109-118. http://geodesic.mathdoc.fr/item/SM_1981_38_1_a7/

[1] H. S. Wall, Analytic theory of continued fractions, Van Nostrand, New-York, 1948 | MR | Zbl

[2] O. Perron, Die Lehre von den Kettenbrüchen, Chelsea Publ. Comp., New-York, 1950 | MR | Zbl

[3] G. A. Baker Jr., Essentials of Padé Approximant, Academic Press, New-York–San Francisco–London, 1975

[4] J. Hadamard, “Essay sur l'étude des founctions donnees pur leur dévelopement de Taylor”, J. Math. pures et appl., 4:8 (1892), 101–186 | Zbl

[5] R. de Montessus de Ballore, “Sur le fractions comtinnes algebriques”, Bull. Soc. Math. France, 30 (1902), 28–36 | MR | Zbl

[6] A. A. Gonchar, “O skhodimosti obobschennykh approksimatsii Pade”, Matem. sb., 101(143) (1976), 44–56

[7] R. K. Kovacheva, “Obobschennye approksimatsii Pade i meromorfnoe prodolzhenie funktsii”, Matem. sb., 109(151):3(7) (1979), 365–377 | MR | Zbl

[8] S. P. Suetin, “Obratnye teoremy ob obobschennykh approksimatsiyakh Pade”, Matem. sb., 109(151):4(8) (1979), 629–646 | MR | Zbl

[9] L. Biberbakh, Analiticheskoe prodolzhenie, izd-vo “Nauka”, Moskva, 1967 | MR

[10] R. Wilson, “Divergent continued fractions and non-polar singularities”, Proc. London Math. Soc., 30 (1929), 38–57 | DOI | Zbl

[11] V. V. Vavilov, “Ob osobykh tochkakh meromorfnoi funktsii, zadannoi svoim ryadom Teilora”, DAN SSSR, 231:6 (1976), 1281–1284 | MR | Zbl