2014 - Yakiv IVASCHUK
has defended Dissertation
«Extremal and approximation properties of functions from interpolation classes»
on Scientific Degree of Kandidate of Sciences (Physics & Mathematics)
in Speciality «Mathematical Analysis».
Official opponents were
Doctor of Sciences Professor D.I.BODNAR
and Kandidate of Sciences P.S.YANCHUK.

2015 - Lilia CHERNETSKA
has defended Dissertation
«Generalized moment representations and rational approximations of functions of several variables»
on Scientific Degree of Kandidate of Sciences (Physics & Mathematics)
in Speciality «Mathematical Analysis».
Official opponents were
Doctor of Sciences Professor D.I.BODNAR
and Kandidate of Sciences O.M.SUS'.

2017 - Hanna VESELOVSKA
has defended Dissertation
«Padé type approximants for special functions of several variables»
on Scientific Degree of Kandidate of Sciences (Physics & Mathematics)
in Speciality «Mathematical Analysis».
Official opponents were
Doctor of Sciences Professor D.I.BODNAR
and Kandidate of Sciences A.P.MUSIYENKO.

2009 - Vitaliy IVANYUK«Computer modeling of dynamic objects with complex transfer functions
using chain-fraction approximations»
for the Degree of
Candidate of Engineering Sciences, specialty
01.05.02 – «Mathematical Simulation and Numerical Methods».
Scientific Advisor - Doctor of Engineering Sciences Anatoliy Verlan.

2010 - Yaroslav NOVAK«Approximation and interpolation properties of simle fractions»
for the Degree of
Candidate of Physical and Mathematical Sciences, specialty
01.01.01 – «Mathematical Analysis».
Scientific Advisor - Doctor of Physical and Mathematical Sciences Andrei Pokrovskii.

2011 - Olena GOROKHOVA«Approximate characteristics of weak solutions
of operator equations by discrete information»
for the Degree of
Candidate of Physical and Mathematical Sciences, specialty
01.01.01 – «Mathematical Analysis».
Scientific Advisor - Academician of NAS of Ukraine Mykola Korneichuk.

2012 - Khrystina KUCHMINSKA«Development of analytic theory of two-dimensional continued fractions»
for the Degree of
Doctor of Physical and Mathematical Sciences, specialty
01.01.01 – «Mathematical Analysis».
Scientific Consultant - Doctor of Physical and Mathematical Sciences Dmytro Bodnar.

2013 - Roman KATSALA«Development of functions in continued fraction»
for the Degree of
Candidate of Physical and Mathematical Sciences, specialty
01.01.01 – «Mathematical Analysis».
Scientific Advisor - Candidate of Physical and Mathematical Sciences Mykhailo Pahyria.

2014 - Oksana BARAN«Approximation of functions of several variables by branched continued fractions with inequivalent variables»
for the Degree of
Candidate of Physical and Mathematical Sciences, specialty
01.01.01 – «Mathematical Analysis».
Scientific Advisor - Doctor of Physical and Mathematical Sciences Dmytro Bodnar.

2016 - Maria BUBNIAK«Sets of convergence for periodic branched continued fractions of the special form»
for the Degree of
Candidate of Physical and Mathematical Sciences, specialty
01.01.01 – «Mathematical Analysis».
Scientific Advisor - Doctor of Physical and Mathematical Sciences Dmytro Bodnar.

Areas of Research:

Approximation Theory,

Padé and Rational Approximants,

Biorthogonal Polynomials,

Special Functions,

Numerical Analysis.

Summary of Research Activity:

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

convergence and asymptotics of diagonal Padé approximants for
functions of Mittag-Leffler type;

convergence of simultaneous Padé approximants for
systems of confluent hypergeometric functions and
systems of functions of Mittag-Leffler type;

exact formulae for Padé approximants for some
basic hypergeometric functions;

application of generalized moment representations
to the problem of Padé-Chebyshev approximation;

application of generalized moment representations
to multipoint Padé approximation;

generalization of invariance properties of Padé
approximants;

application of multidimensional generalized moment representations to rational approximations of functions of several variables.

Work address: Tereschenkivska Str.,3, KIEV, 01601, UKRAINE
Home address: W.Vysotsky Boul.,7/42, KIEV, 02222, UKRAINE
E-mail:
golub@imath.kiev.ua apholub@gmail.com