Oksana Bihun
obihun@uccs.edu
Last update: Nov. 6, 2015
List of Publications
Accepted
1. (with F. Calogero) New solvable many-body problems of goldfish type, J. Nonlinear Math.
Phys. (accepted on Sept. 29, 2015, planned for publication in volume 23 issue 1, 2016).
Published
1. (with F. Calogero) Properties of the zeros of generalized basic hypergeometric polynomials, J.
Math. Phys., Vol. 56 (2015) 112701, 1-15.
2. (with F. Calogero) Properties of the zeros of the polynomials belonging to the q-Askey scheme,
J. Math. Analysis Appl. Vol. 433 No. 1 (Jan 2016) 525-542.
3. (with F. Calogero) Properties of the zeros of the polynomials belonging to the Askey scheme,
Lett. Math. Phys., Vol. 104, Issue 12 (2014), p. 1571-1588.
4. (with F. Calogero) Properties of the zeros of generalized hypergeometric polynomials, Journal
of Mathematical Analysis and Applications, Vol. 419, Issue 2 (2014), p. 1076-1094.
5. (with F. Calogero) Solvable Many-body Models of Goldfish Type with One-, Two- and Threebody Forces, Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), Vol. 9
(2013), 059, 18 pages.
6. (with F. Calogero) Equilibria of a Solvable N -body Problem and Related Properties of the
N Numbers xn at which the Jacobi Polynomial of Order N Has the Same Value, Journal of
Nonlinear Mathematical Physics, Vol. 20, Nr. 4 (2013) 539-551.
7. (with F. Calogero) Solvable and/or Integrable Many-Body Models on a Circle, Journal of Geometry and Symmetry in Physics, Vol. 30 (2013), p. 1-18.
8. (with F. Calogero and G. Yi), Diophantine Properties Associated to the Equilibrium Configurations of an Isochronous N -body Problem, Journal of Nonlinear Mathematical Physics, Vol.
20, No. 1 (2013), p. 158-178.
9. (with A. Bren*, M. Dyrud*, and K. Heysse*) Discrete approximations of differential equations
via trigonometric interpolation, The European Physical Journal Plus, Vol. 126, No. 10 (2011)
p. 97-108, URL http://arxiv.org/abs/1108.5714.
10. (with M. Prytula) Rank of Projection-Algebraic Representations of Some Differential Operators,
Matematychni Studii, Vol.35, No.1 (2011) 9-21.
URL http://arxiv.org/abs/1011.3782.
11. (with C. Chicone and S. Harris) Minimal Distortion Morphs Generated by Time-dependent
Vector Fields, Journal of Mathematical Analysis and Applications, Vol. 364, No. 2 (2010) 324–
340. URL http://arxiv.org/abs/0810.4357.
12. (with C. Chicone) Distortion Minimal Morphing: the Theory for Stretching, Rocky Mountain
Journal of Mathematics, Vol. 39, No. 1 (2009) 11–26.
URL http://arxiv.org/abs/math.DG/0605668.
13. (with C. Chicone) Deformation Minimal Bending of Compact Manifolds: Case of Simple Closed
Curves, Opuscula Mathematica, Vol. 28, No. 1 (2008), 19–28.
URL http://arxiv.org/abs/math.OC/0701901.
14. (with A. Prykarpatsky) A Construction of Finite-Dimensional Reductions on Functional Manifolds, Mathematical Methods and Physicomechanical Fields, Vol. 48,
No. 1 (2005), 7–14. (In Ukrainian)
15. A Modification of the Lie-Algebraic Scheme and Approximation Error Estimates, Matematychni
Studii, Vol. 20, No. 2 (2003), 179–184.
16. (with M. Luśtyk) Approximation Properties of the Lie-Algebraic Scheme, Matematychni Studii,
Vol. 20, No. 1 (2003), 85–91.
17. (with M. Prytula). The Method of Lie-Algebraic Approximations in the Theory of Dynamical
Systems, Mathematical Bulletin of Shevchenko Scientific Society, Vol. 1 (2004), 24–31. (In
Ukrainian)
18. (with M. Luśtyk) Numerical Tests and Theoretical Estimates for a Lie-Algebraic Scheme of
Discrete Approximations, Bulletin of Lviv University, Ser. Appl. Math. and Comp. Science,
Vol. 6 (2003), 22–31.
19. (with M. Prytula) Numerical Simulation of White Noise Influence to Solutions of the Korteveg
- de Vries Equation, Bulletin of Lviv University, Ser. Appl. Math. and Comp. Science, Vol. 4
(2002), 11–16. (in Ukrainian)
20. (with M. Prytula) A Numerical Scheme for Solving Burgers’ Equation Using
Schemes for the Heat Equation, Bulletin of Lviv University, Ser. Appl. Math. and Comp.
Science, Vol. 3 (2000), 53–60. (in Ukrainian)