Curriculum Vitae

Name: Anatoly P.GOLUB.
Date of birth: November 03, 1956.
Gratuated Gadyach Secondary School No.2 (town Gadyach of Poltava region, Ukraine) in 1973.
Gratuated Kiev University in 1978.
Ph.D.Degree (Kandidate of Sciences, Physics & Mathematics):
Institute of Mathematics of National Academy of Sciences of Ukraine under supervision of Corresponding Member of NASU V.K.DZYADYK - 1983.
 
Affiliate Member of the American Mathematical Society from 2006.

Affiliations:

Areas of Research:

  • Approximation Theory,

  • Pade and Rational Approximants,

  • Biorthogonal Polynomials,

  • Special Functions,

  • Numerical Analysis.

Summary of Research Activity:

A new approach was developed to the construction and investigation of Pade approximants based on generalized moment representations. In particular, the following results were obtained:

  • convergence and asymptotics of diagonal Pade approximants for functions of Mittag-Leffler type;
  • convergence of simultaneous Pade approximants for systems of confluent hypergeometric functions and systems of functions of Mittag-Leffler type;
  • exact formulae for Pade approximants for some basic hypergeometric functions;
  • application of generalized moment representations to the problem of Pade-Chebyshev approximation;
  • application of generalized moment representations to multipoint Pade approximation;
  • generalization of invariance properties of Pade approximants.

Work address: Tereschenkivska Str.,3, KIEV, 01601, UKRAINE
Home address: W.Vysotsky Boul.,7/42, KIEV, 02222, UKRAINE
E-mail: golub@imath.kiev.ua
ICQ: 379-385-401



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Last updated February 7, 2009.