In the present paper, results about the explicit asymptotics of sequences of rows and of closed to rows sequences of classical Padé approximants will be provided.
Topics
Complex analysis
REFERENCES
1.
A. A.
Gonchar
, Poles of the rows of the Padé table and meromorphic continuation of functions
. Mat. Sb.
115
(157
)(1981
), 590
–615
. English transl. in in Math. USSR Sb. 43(1982).2.
O.
Perron
, Die Lehre von den Kettenbrüchen
. Vol II
, 3rd ed., Teubner Verlag
, Stuttgart
, 1957
.3.
G. A.
Baker
, P. Gr.
Morris
, Padé Approximants
, Addison Wesly Publ. Co, Encyclopedia of Mathematics and Applications
, Vol. 13
,14, 1981
.4.
T.
Kakehashi
, The decomposition of coefficients of power series and the divergence of the interpolating polynomials
, Proc. Japan Academy
, 31
:8
(1955
), 517
–523
.5.
V. V.
Vavilov
, G.
López
, V. A.
Prokhorov
, On an inverse problem for the rows of the Padé table
. Mat. Sb.
110
(152
)(1979
), 117
–129
; English transl. in Math. USSR. 38(1981).6.
D. N.
Khristoforov
, On the asymptotic properties of interpolating polynomials
. Matem.zametki
, t. 83
, (1
) 2008
, pp. 129
–138
. English translation in Mathematical Notes, Febr. 2008, 83:1, pp. 116 - 124.7.
H. P.
Blatt
, R. K.
Kovacheva
, Growth behavior and zero distribution of rational functions
. Constructive Approximation
, 34
(3
)(2011
), 393
–420
.
This content is only available via PDF.
© 2017 Author(s).
2017
Author(s)