các định lý thuận và đảo của xấp xỉ Padé 6_2

luận văn này xét chủ yếu các kết quả liên quan đến hàng thứ m của bảng các xấp xỉ Padé trong trường hợp cổ điển cũng như mở rộng

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TAl LI~ U THAM KHA 0

(theo tha t1/ thai gian)

1 Jacques Hadamard, Essai sur l'etudes des fonctions donnees par leur

developpement de Taylor, J.Math.Pures Appl (4) 8 (1892), 101- 186

2 R.de Montessus de Ballore, Sur les fractions continues algebriques,

3 Tetsujiro Kakehashi, The decomposition of coefficients of power-series and the divergence of interpolation polynomial, ProJapan Acad.31 (1955),

4 Lars V.Ahlfors , Complex Analysis - McGraw-Hill Book Company - 1966

5 E.B.Saff, An extension of Montessus de Ballore's theorem on the convergence of interpolating rational functions J Approximation Theory 6

6 A.A.Gonchar, On the convergence of generalized Fade approximants of meromorphic functions, MatSb.98 (140) (1975), 564 - 577; English trans!

in Math USSR Sb 27 (1975)

7 Phan Ba NgQc, Ham bitn phac va phep bitn deliLaplace, NXB B<;lihQc va

Trung hQc chuyen nghi~p - Ha NQi 1980

8 A.A.Gonchar, Poles of rows of the Fade table and meromorphic continuation of functions, MatSb.115 (157) (1981), 590 - 613; English trans! in Math USSR Sb 43 (1982)

9 Markusevich, The theory of analytic functions - Mir Publisher Moscow

-1983

10.S.P.Suetin, On the poles of the mth row of the Fade table, MatSb.120 (162) (1983),500 - 504; English trans! in Math USSR Sb 48 (1984)

11 S.P.Suetin , On an inverse problem for the mth row of the Fade table,

MatSb.124 (166) (1984),238 - 250; English trans! in Math USSR Sb 52

(1985).

12.Nguyen Thuy Thanh, Ca sa ly thuyft ham bifn phac - NXB B<;1ihQc Va

Trung hQc chuyen nghi~p - Ha NQi 1985

13.V.I Buslaev, Relations for the coefficients, and singular points of a

function, MatSb.131 (173) (1986), 357 - 384; English trans! in Math USSR Sb 59 (1988)

14.Le Ba Khanh Trinh, On the mth row of a table of multipoint Pade approximants, Vestnik Moscow Univ Ser.l Math.Meth 1987, no.3, 50 -53; English trans! in Moscow Univ.Math.Bull.42(1987)

TPHCM - 1996

17.Nguyen Vi~t Dung, LucJ-nvan tot nghi?p d(li hr;ccua tac gid - 1998