Kravtsiv Viktoriia

Associate Professor

 

 

Curriculum VitaeMain publicationsActivitiesContacts

PERSONAL INFORMATION

Date of birth: January 30, 1987
Address: Department of Mathematics and Computer Sciences,
Vasyl Stefanyk Carpathian National University,
57 Shevchenka str., Ivano-Frankivsk, Ukraine, 76018
Phone (office): +38-0342-59-60-17
Phone (cell): +38-098-908-67-92
e-mail: viktoriia.kravtsiv@cnu.edu.ua
ORCID ID: https://orcid.org/0000-0002-7702-7071
SCOPUS Author ID: https://www.scopus.com/authid/detail.uri?authorId=57189029809
Web of Science Researcher ID: https://www.webofscience.com/wos/author/record/10576158

EDUCATION

Student, Faculty of Mathematics and Computer Science, Vasyl Stefanyk Precarpathian University, Ivano-Frankivsk, Ukraine, 2004–2009

Post-graduate Studies, Department of Mathematical and Functional Analysis, Vasyl Stefanyk Precarpathian University, Ivano-Frankivsk, Ukraine, 2009–2012

PhD Degree in Mathematics and Physics, Specialty Mathematical Analysis, Vasyl Stefanyk Precarpathian University, Ivano-Frankivsk, Ukraine, 2012

Title of PhD thesis: Symmetric analytic functions on  products of Banach spaces

PhD advisor: Prof. Dr. Andriy Zagorodnyuk

PROFESSIONAL EXPERIENCE

Precarpathian National University, Ivano-Frankivsk, Department of Mathematics and Computer Sciences, assistant 2009 – 2011

Precarpathian National University, Ivano-Frankivsk, Department of Mathematics and Computer Sciences, teacher 2012 – 2017

Precarpathian National University, Ivano-Frankivsk, Department of Mathematics and Computer Sciences, associate professor 2017 – till now

  1. Kravtsiv V.V., Zagorodnyuk A.V.: On algebraic bases of algebras of block-symmetric polynomials on Banach spaces. Matematychni 37, №1, 109-112 (2012)
  2. Kravtsiv V.V., Mozhyrovska Z.G., Zagorodnyuk A.V.: Hypercyclic operators on spaces of block-symmetric analytic function. Carpathian Math. Publ. 5, №1, 59-62 (2013). doi:10.15330/cmp.5.1.59-62
  3. Kravtsiv V.V.: On generalizations of the Hilbert Nullstellensatz for infinity dimensions (a survey). Journal of Vasyl Stefanyk Precarpathian National University. 2, No. 4, 58-74 (2015). doi: 10.15330/jpnu.2.4.58-74
  4. Kravtsiv V.V.: The Analogue of Newton’s Formula for Block-Symmetric Polynomials. International Journal of Mathematical Analysis. 10, no.7, 323-327 (2016). doi: 10.12988/ijma.2016.617
  5. Kravtsiv V.V., Zagorodnyuk A.V.: Representation of spectra of algebras of block-symmetric analytic functions of bounded type. Carpathian Math. Publ. 8, №2, 168-178 (2016). doi: 15330/cmp.8.2.263-271
  6. Kravtsiv V., Vasylsrhyn T., Zagorodnyuk A.: On Algebraic Basis of the Algebra of Symmetric Polynomials on . Hindawi Jornal of Function Spaces. Volume 2017, Article ID 4947925, 8 pages. https://doi.org/10.1155/2017/4947925
  7. Kravtsiv V.V.: Algebraic basis of the algebra of block-symetric polynomials on . Carpathian Math. Publ. 11, №1, 89–95 (2019), doi:10.15330/cmp.11.1.89-95.
  8. Zagorodnyuk A.V., Kravtsiv V.V. Multiplicative convolution on the algebra of block-symmetric analytic functions. Journal of Mathematical Sciences, 246, No. 2, April, 2020, doi: 10.1007/s10958-020-04734-z.
  9. Kravtsiv V.V. Zeros of block-symmetric polynomials on Banach spaces. Mat. Stud. 53, №2, 2016-2011 (2020), doi:10.30970/ms.53.2.206-211.
  10. Kravtsiv V.V. Analogues of the Newton formulas for the block-symmetric polynomials Carpathian Math. Publ. 12 №1, 17–22 (2020), doi:10.15330/cmp.12.1.17-22.
  11. Antonova T., Dmytryshyn R., Kravtsiv V. Branched continued fraction expansions of Horn’s hypergeometric function H3 ratios. Mathematics. 2021; 9(2):148. https://doi.org/10.3390/math9020148
  12. Bandura A., Kravtsiv V., Vasylyshyn T. Algebraic Basis of the Algebra of All Symmetric Continuous Polynomials on the Cartesian Product of -SpacesAxioms. 11, 41 (1-14) (2022)doi.org/10.3390/axioms11020041.
  13. Kravtsiv V., Zagorodnyuk A.V. Spectra of algebras of block-symmetric analytic functions of bounded type. Mat. Stud. 58, 69–81 (2022), doi:10.30970/ms.58.1.69-81.
  14. Kravtsiv V., Vitrykus D. Generating Elements of the Algebra of Block-Symmetric Polynomials on the Product of Banach Spaces . AIP Conf. Proc. 2483, 030010-1–030010-4 (2022), doi.org/10.1063/5.0115680.
  15. Kravtsiv V. Block-Supersymmetric Polynomials on Spaces of Absolutely Convergent Series. Symmetry. 2024, 16, 179. doi.org/10.3390/sym16020179 
  16. Handera-Kalynovska O.V., Kravtsiv V.V. The Waring-Girard formulas for symmetric polynomials on spaces `p Carpathian Math. Pabl. 2024, 16(2), 407413. doi:10.15330/cmp.16.2.407-413
  17. Kimak V., Kravtsiv V., Zagorodnyuk A. Cryptography with Integer Multinumbers. CIEES 2024 – IEEE International Conference on Communications, Information, Electronic and Energy Systems. Conference Paper 2024 https://doi.org/10.1109/CIEES62939.2024.10811229
  18.  Hladun V.R., Dmytryshyn M.V., Kravtsiv V.V., Rusyn R.S. Numerical stability of the  branched continued fraction expansions of the ratios of Horn’s confluent hypergeometric functions H6, Math. Model. Comput. 2024, 11, 1152–1166.  http://doi.org/10.23939/mmc2024.04.1152
  19.  Hladun V., Kravtsiv V., Dmytryshyn M., Rusyn R. On numerical stability of continued fractions, Mat. Stud. 2024, 62, 168–183.  http://doi.org/10.30970/ms.62.2.168-183
  20.  Kravtsiv V., Martsinkiv M., Yaselskyi A. Analogues of Waring-Girard formulas for the block-symmetric polynomials on the spases l_1(C^2) and l_p(C^2). Visnyk of the Lviv Univ. Series Mech. Math. 2024, 96. C. 61 – 70.  http://dx.doi.org/10.30970/vmm.2024.96.061-070
  21.  Kravtsiv V., Dolishniak P., Stakhiv R. Waring-Girard formulas for block-symmetric and block-supersymmetric polynomials. Mat. Stud. 2025, 63, 210–220.
    https://doi.org/10.30970/ms.63.2.210-220 
  22.  Chernega I., Dmytryshyn R., Kravtsiv V., Vasylyshyn T., Zagorodnyuk A. Function Calculus on Rings of Multisets Associated With Symmetric and Supersymmetric
    Polynomials. Carpathian Math. Publ. 2025, 17, 187-199. https://doi.org/10.15330/cmp.17.1.187-199
  23.  Нryniv R., Kravtsiv V., Vasylyshyn T., Zagorodnyuk A. Symmetric and supersymmetric polynomials on ℓ_p and partition functions in quantum statistical physics. Physica Scripta. 2025, 100(7), https://doi.org/10.1088/1402-4896/adde1e
  24.  Faryma D., Kimak V., Kravtsiv V., Zagorodnyuk A. On block-supersymmetric polynomials on Banach spaces. Algebra and Discrete Mathematics. Volume 40 (2025). Number 1, 14–26. https://doi.org/10.12958/adm2416

 

Research Interests: Block-symmetric polynomials and analytic functions on Banach spaces, maximal ideals.

Membership in professional organizations: Ivano-Frankivsk Mathematical Society.

Postal Address
Department of Mathematical and Functional Analysis
Vasyl Stefanyk Carpathian National University
57, Shevchenka str., Ivano-Frankivsk
76018 Ukraine
E-mail address: viktoriia.kravtsiv@cnu.edu.ua
Phones
+38-0342-59-60-50