The list of main publications
of Anatoly GOLUB

1

On the Pade approximation of the arcsin z function. Ukrainian Math.J. 33(1981), no.1, 46-48.
MR 83c:41013

2

(with V.K.Dzyadyk) The generalized moment problem and Pade approximation [Russian]. Akad.Nauk Ukrain.SSR Inst.Mat.Preprint 1981, no.58, 3-15.
MR 83j:44006

3

Application of the generalized moment problem to Pade approximation of some functions [Russian]. Akad.Nauk Ukrain.SSR Inst.Mat.Preprint 1981, no.58, 16-56.
MR 83j:44007

4

Pade approximation of the Mittag-Leffler function [Russian]. The theory of approximation of functions and its applications, 52-59, Akad.Nauk Ukrain.SSR, Inst.Mat., Kiev, 1984.
MR 86f:30037, Zbl 569.41015

5

(with A.F.Verlan',V.S.Sizikov) Approximate calculation of the error of Fredholm and Volterra integral equations of the second kind by the method of quadratures. Soviet J.Automat.Inform.Sci. 19(1986), no.6, 57-62 (1987).
MR 88h:65252, Zbl 629.65137

6

Generalized moment representations and rational approximations [Russian]. Akad.Nauk Ukrain.SSR Inst.Mat.Preprint 1987, no.25, 51pp.
MR 89d:41037

7

Simultaneous Pade approximants for a set of degenerate hypergeometric functions. Ukrainian Math.J. 39(1987), no.6, 569-573.
MR 89f:30060, Zbl 645.30025, 654.30029

8

Integral equations of convolution type and Pade approximants [Russian]. Investigations in the theory of the approximation of functions, 21-23, Acad.Sci.Ukrain.SSR Inst.Mat., Kiev, 1987.
MR 89g:45014, Zbl 702.41025

9

Convergence of denominators of simultaneous Pade approximants for a set of degenerate hypergeometric functions. Ukrainian Math.J. 40(1988), no.6, 670-673.
MR 90a:30106, Zbl 681.30021, 664.30037

10

Proofs of Pade and van Rossum theorems using generalized moment representations [Russian]. Some problems in the theory of the approximations of functions and their applications, 37-43, Akad.Nauk Ukrain.SSR, Inst.Mat., Kiev, 1988.
MR 90d:41027.

11

(with V.I.Belyi, I.A.Shevchuk) V.K.Dzyadyk's research on the theory of approximation of functions of a complex variable. Ukrainian Math.J. 41(1989), no.4, 384-395.
MR 90f:01054b, Zbl 701.30038, 683.30001

12

Generalized moment representations of basic hypergeometric series. Ukrainian Math.J. 41(1989), no.6, 690-694.
MR 90k:33008, Zbl 696.30034

13

A system of biorthogonal polynomials and its applications. Ukrainian Math.J. 41(1989), no.7, 821-823.
MR 90m:33010, Zbl 706.33008

14

One type of generalized moment representations. Ukrainian Math.J. 41(1989), no.11,
1246-1251.
MR 91e:33016, Zbl 703.30033, 688.30025

15

Some properties of bi-orthogonal polynomials. Ukrainian Math.J. 41(1989), no.10, 1191-1194.
MR 91f:42023

16

Simultaneous Pade approximations of a set of functions of Mittag-Leffler type [Russian]. Harmonic analysis and the development of approximation methods, 38-42, Akad.Nauk Ukrain.SSR, Inst.Mat., Kiev, 1989.
MR 91i:41011, Zbl 725.41017

17

A property of Pade approximations of hypergeometric functions. Siberian Math.J. 31(1990), no.5, 844-847.
MR 92f:30056, Zbl 753.41015, 716.41016

18

Generalized moment representations and Pade-Chebyshev approximations. Ukrainian Math.J. 42(1990), no.6, 672-676.
MR 92i:41021, Zbl 716.30030

19

(with A.G.Bakan) Some negative results on sequences of multipliers of the first kind. Ukrainian Math.J. 44(1992), no.3, 264-268.
MR 93m:26030, Zbl 787.30004, 757.30001

20

(with A.G.Bakan) On sequences that do not increase the number of real roots of polynomials. Ukrainian Math.J. 45(1993), no.10, 1481-1489.
MR 95i:26023, Zbl 833.26011

21

Generalized moment representations, biorthogonal polynomials and Pade approximants. Ukrainian Math.J. 46(1994), no.10, 1463-1471 (1996).
MR 96f:41019

22

Some properties of biorthogonal polynomials and their application to Pade approximations. Ukrainian Math.J. 46(1994), no.8, 1070-1078.
MR 98c:41019

23

Generalized moment representations and invariance properties of Pade approximants. Ukrainian Math.J. 48(1996), no.3, 347-353 (1997).
MR 97d:41019

24

(with A.Bakan, T.Craven, G.Csordas) Weakly increasing zero-diminishing sequences. Serdica Math.J. 22(1996), no.4, 547-570.
MR 98k:26025, Zbl 0941.30019

25

On Pade approximants of some elementary functions. CNRS, Centre de Physique Theorique. Preprint, CPT-99/P.3824, Marseille, 1999, 15pp.

26

Generelized moment representations and Pade approximants. Approximation Theory and its Applications, 144-160, Akad.Nauk Ukrain.SSR, Inst.Mat., Kiev, 2000.
Zbl 1023.41013

27

Pade-Chebyshev approximants for one class of functions [Ukrainian]. Ukrain.Mat.Zh. 54(2002), no.1, 15-19. English translation in Ukrainian Math. J. 54(2002), no.1, 17-22.
MR 2003g:41020, Zbl 1019.41011

28

Generalized moment representations and Pade approximants associated with bilinear transformations. Ukrain.Mat.Zh. 54(2002), no.5, 623-627.
MR 2003m:30078, Zbl 1003.41015

29

Generalized moment representations and Pade approximants [Ukrainian]. - Kiev: Institute of Mathematics of the NASU, 2002. - 222 p.

30

Method of generalized moment representations in the theory of rational approximations. A survey [Ukrainian]. Ukrain.Mat.Zh. 55(2003), no.3, 307-359.
MR 2005d:41020

31

Existence theorems for generalized moment representations [Russian]. Ukrain.Mat.Zh. 55(2003), no.7, 881-888.
MR 2005g:44009

32

Generalized moment representations and multipoint Pade approximations [Ukrainian]. Ukrain.Mat.Zh. 56(2004), no.7, 991-995.
MR 2005h:41029

33

Rational approximations of some elementary and special functions [Ukrainian]. Problems of the Theory of Approximation of Functions and Related Questions. Collection of Papers of the Institute of Mathematics of NAS of Ukraine 1(2004), no.1, 130-143.

34

Generalized moment representations and Konhauser bi-orthogonal polynomials [Ukrainian]. Problems of the Theory of Approximation of Functions and Related Questions. Collection of Papers of the Institute of Mathematics of NAS of Ukraine 4(2007), no.1, 65-72.

35

On asymptotics of Pade approximants of functions of Mittag-Leffler type [Ukrainian]. Theory of Approximation of Functions and Related Questions. Collection of Papers of the Institute of Mathematics of NAS of Ukraine 5(2008), no.1, 92-103.


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Last updated February 7, 2009.