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Associate Professor
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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
- Kravtsiv V.V., Zagorodnyuk A.V.: On algebraic bases of algebras of block-symmetric polynomials on Banach spaces. Matematychni 37, №1, 109-112 (2012)
- 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
- 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
- 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
- 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
- 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
- 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.
- 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.
- 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.
- 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.
- 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
- Bandura A., Kravtsiv V., Vasylyshyn T. Algebraic Basis of the Algebra of All Symmetric Continuous Polynomials on the Cartesian Product of -Spaces. Axioms. 11, 41 (1-14) (2022), doi.org/10.3390/axioms11020041.
- 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.
- 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.
- Kravtsiv V. Block-Supersymmetric Polynomials on Spaces of Absolutely Convergent Series. Symmetry. 2024, 16, 179. doi.org/10.3390/sym16020179
- 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
- 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
- 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
- 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
- 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
- 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 - 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 - 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
- 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

