On Convergence of Subsequences of the mTH Row of a PadÉ Table

Mathematics of the USSR - Sbornik

Volumn 48, Issue 2, 1984, Pages 535-540

  Buslaev, V I ^a   Gonchar, A A ^a   Suetin, S P ^a   McFaden, H H ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001114055     PISSN: 00255734     EISSN: 21695288     Source Type: Journal    
DOI: 10.1070/SM1984v048n02ABEH002690     Document Type: Article

References (8)

1. George A. Baker, Jr., and Peter Graves-Morris, Padé approximants. Part I: Basic theory, Encyclopedia of Mathematics and its Applications, Vol. 13, Addison-Wesley, 1981.
2. George A. Baker, Jr., The existence and convergence of subsequences of Padé approximants, J. Math. Anal. Appl. 43 (1973), 498-528.
3. George A. Baker, Jr., Essentials of Padé approximants, Academic Press, 1975.
4. P. R. Graves-Morris, Convergence of rows of the Padé table, Padé Approximants Method and its Applications to Mechanics, Lecture Notes in Phys., vol. 47, Springer-Verlag, 1976, pp. 55-68.
5. George A. Baker, Jr., and P. R. Graves-Morris, Convergence of rows of the Padé table, J. Math. Anal. Appl. 57 (1977), 323-339.
6. Jacques Hadamard, Essai sur l’étude des fonctions données par leur développement de Taylor, J. Math. Pures Appl. (4) 8 (1982), 101-186.
7. Albert Edrei, The Padé tables of entire functions, J. Approx. Theory 28 (1980), 54-82.
8. A. A. Gonchar, The poles of the rows of a Padé table and meromorphic continuation of functions, Mat. Sb. 115 (157) (1981), 590-613; English transl. in Math. USSR Sb. 43 (1982).