Roman Dmytryshyn

Professor of Department of Mathematical and Functional Analysis
Doctor of Physical and Mathematical Sciences, Professor

 

Curriculum VitaePublicationsActivitiesContacts

PERSONAL INFORMATION

Date of birth: September 6, 1973
Address:
Department of Mathematical and Functional Analysis
Vasyl Stefanyk Precarpathian National University
vul. Shevchenka 57
Ivano-Frankivsk 76018
Ukraine
E-mail address: dmytryshynr@hotmail.com, roman.dmytryshyn@pnu.edu.ua
Web page: https://kmfa.pnu.edu.ua/en/roman-dmytryshyn/
ORCID ID: https://orcid.org/0000-0003-2845-0137
SCOPUS Author ID: https://www.scopus.com/authid/detail.uri?authorId=6508232466
Web of Science Researcher ID: https://www.webofscience.com/wos/author/record/N-4208-2019

EDUCATION

Student, Faculty of Physico-Mathematical, Vasyl Stefanyk Precarpathian University, Ivano-Frankivsk, Ukraine, 1990–1995
Post-graduate Studies, Department of Differential Equations and Theory of Functions, Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of National Academy of Sciences of Ukraine, Lviv, Ukraine, 1995–1998
PhD Degree in Mathematics and Physics, Specialty Mathematical Analysis, Lviv State University, Lviv, Ukraine, 1998

Title of PhD thesis: The Multidimensional Analogs of g-fractions, Its Properties, Convergence Criterions

PhD advisor: Prof. Dr. Dmytro Bodnar

DSc Degree in Mathematics and Physics, Specialty Mathematical Analysis, Institute of Mathematics, National Academy of Sciences of Ukraine, Kyiv, Ukraine, 2019

Title of DSc thesis: Some Classes of Functional Branched Continued Fractions with Independent Variables and Multiple Power Series

MOST RECENT POSITION HELD

University or Company: Vasyl Stefanyk Precarpathian National University
Position Title: Professor (Full) of Department of Mathematical and Functional Analysis
Dates: 09/2019 –

Position Title: Professor (Associate) of Department of Economic Cybernetics
Dates: 09/2002 – 09/2019

University or Company: Ternopil National Economic University
Position Title: Professor (Associate) of Department of Automated Systems and Programming
Dates: 03/2000 – 09/2002

University or Company: Pidstryhach Institute for Applied Problems of Mechanics and Mathematics
Position Title: Researcher of Department of Differential Equations and Theory of Functions
Dates: 12/1998 – 03/2000

 

  1. Dmytryshyn R.I. Convergence of multidimensional A– and J-fractions with independent variables. Comput. Methods Funct. Theory. 22(2), (2022) 229–242. https://doi.org/10.1007/s40315-021-00377-6
  2. Antonova T., Dmytryshyn R., Kurka R. Approximation for the ratios of the confluent hypergeometric function Φ(N)D by the branched continued fractions. Axioms. 11(9), (2022) 426. https://doi.org/10.3390/axioms11090426
  3. Antonova T., Dmytryshyn R., Kravtsiv V. Branched continued fraction expansions of Horn’s hypergeometric function H3 ratios. Mathematics. 9(2), (2021) 148. https://doi.org/10.3390/math9020148
  4. Antonova T., Dmytryshyn R., Sharyn S. Generalized hypergeometric function 3F2 ratios and branched continued fraction expansions. Axioms 10(4), (2021) 310. https://doi.org/10.3390/axioms10040310
  5. Dmytryshyn R.I., Sharyn S.V. Approximation of functions of several variables by multidimensional S-fractions with independent variables. Carpathian Math. Publ. 13 (3), (2021) 592-607. https://doi.org/10.15330/cmp.13.3.592-607
  6. Bodnar O.S., Dmytryshyn R.I., Sharyn S.V. On the convergence of multidimensional S-fractions with independent variables. Carpathian Math. Publ. 12 (2), (2020) 353–359. https://doi.org/10.15330/cmp.12.2.353-359
  7. Antonova T.M., Dmytryshyn R.I. Truncation error bounds for branched continued fraction whose partial denominators are equal to unity. Mat. Stud. 54 (1), (2020) 3-14. https://doi.org/10.30970/ms.54.1.3-14
  8. Antonova T.M., Dmytryshyn R.I. Truncation error bounds for branched continued fraction . Ukr. Math. J. 72 (7), (2020) 1018-1029. https://doi.org/10.1007/s11253-020-01841-7
  9. Dmytryshyn R.I. Multidimensional regular C-fraction with independent variables corresponding to formal multiple power series. Proc. Roy. Soc. Edinburgh Sect. A. 150 (4), (2020) 1853-1870. https://doi.org/10.1017/prm.2019.2
  10. Dmytryshyn R.I. On some of convergence domains of multidimensional S-fractions with independent variables. Carpathian Math. Publ. 11 (1), (2019) 54–58. https://doi.org/10.15330/cmp.11.1.54-58
  11. Bodnar D.I., Dmytryshyn R.I. Multidimensional associated fractions with independent variables and multiple power series. Ukr. Math. J. 71 (3), (2019) 370-386. https://doi.org/10.1007/s11253-019-01652-5
  12. Bodnar O.S., Dmytryshyn R.I. On the convergence of multidimensional S-fractions with independent variables. Carpathian Math. Publ. 10 (1), (2018) 58–64. https://doi.org/10.15330/cmp.10.1.58-64
  13. Dmytryshyn R.I. On the convergence criterion for branched continued fractions with independent variables. Carpathian Math. Publ. 9 (2), (2017) 120–127. https://doi.org/10.15330/cmp.9.2.120-127
  14. Dmytryshyn R.I. Convergence of some branched continued fractions with independent variables. Mat. Stud. 47 (2), (2017) 150–159. https://doi.org/10.15330/ms.47.2.150-159
  15. Dmytryshyn R.I. Some properties of branched continued fractions of special form. Carpathian Math. Publ. 7(1), (2015) 72–77. https://doi.org/10.15330/cmp.7.1.72-77
  16. Dmytryshyn R.I. Associated branched continued fractions with two independent variables. Ukr. Math. J. 66 (9), (2015) 1312-1323. https://doi.org/10.1007/s11253-015-1011-6
  17. Dmytryshyn R.I. Two-dimensional generalization of the Rutishauser qd-algorithm. J. Math. Sci. 208 (3), (2015) 301-309. https://doi.org/10.1007/s11253-015-1011-6
  18. Dmytryshyn R.I. Positive definite branched continued fractions of special form. Carpathian Math. Publ. 5 (2), (2013) 225–230. https://doi.org/10.15330/cmp.5.2.225-230
  19. Dmytryshyn R.I. The two-dimensional g-fraction with independent variables for double power series. J. Approx. Theory. 164 (12), (2012) 1520-1539. https://doi.org/10.1016/j.jat.2012.09.002
  20. Dmytryshyn R.I. On the expansion of some functions in a two-dimensional g-fraction with independent variables. J. Math. Sci. 181 (3), (2012) 320-327. https://doi.org/10.1007/s10958-012-0687-5
  21. Dmytryshyn R.I. The multidimensional generalization of g-fractions and their application. J. Comput. Appl. Math. 164–165, (2004) 265–284. https://doi.org/10.1016/S0377-0427(03)00642-3
  22. Bodnar D.I., Dmytryshyn R.I. On the convergence of multidimensional g-fraction. Mat. Stud. 15 (2), (2001) 115–126. http://matstud.org.ua/texts/2001/15_2/115_126.pdf
  23. Dmytryshyn R.I. A priori estimates of the approximation errors of a multidimensional g-fraction. J. Math. Sci. 96 (2), (1999) 2948–2950. https://doi.org/10.1007/BF02169685

Research Interests:

Approximation Theory
Continued Fractions and Their Generalizations
Special Functions
Numerical Analysis

Membership in professional organizations:

American Mathematical Society (a Referee in Mathematical Reviews)
Ivano-Frankivsk Mathematical Society

Membership in scientific/organizing committees of workshops/symposiums/conferences:

International Online Workshop on Approximation Theory (IOWAT·2021)
March 19-21, 2021, Ivano-Frankivsk, Ukraine

Membership in editorial boards of international journals:

Carpathian Mathematical Publications, Editor
https://journals.pnu.edu.ua/index.php/cmp

Precarpathian Bulletin of the Shevchenko Scientific Society Number, Editor
https://pvntsh.nung.edu.ua/index.php/number

Vasyl Stefanyk Precarpatian National University
vul. Shevchenka 57
Ivano-Frankivsk 76018

E-mail address: dmytryshynr@hotmail.com, roman.dmytryshyn@pnu.edu.ua