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   Vitalii S. Shpakivskyi

Ph.D (in Physics and Mathematics, mathematical analysis)

Research Fellow

E-mail: shpakivskyi@mail.ru 
Room: 212 
Phone: +380976631474
Adress:
01601, Ukraine, Kiev-4,
Tereshchenkivska Str. 3,

Date and Place of Birth: 28 June 1986, Zhytomyr, Ukraine.

Citizenship: Ukraine

Education: Zhytomyr State University, Faculty of Physics and Mathematics, 2003–2008, Magister of mathematics, diploma with honors.

Post-graduate studies at the Institute of Mathematics of the Ukrainian Academy of Sciences under the guidance of Professor S. A. Plaksa, 2008–2011;

Ph.D. (in Physics and Mathematics, mathematical analysis), Institute of Mathematics of the Ukrainian Academy of Sciences, 2011. Theses: Integral theorems for monogenic functions in a three-dimensional harmonic algebra.

From 2010 Junior Research Fellow in Institute of Mathematics of the National Academy of Sciences of Ukraine, Kiev.

Research topics – Hypercomplex analysis, Algebraic equations in the Clifford algebras.

Selected Publications:

1.     Mierzejewski D. A., Szpakowski V. S. On solutions of some types of quaternionic quadratic equations // Bulletin de la Société des Sciences et des Lettres de Łódź 58, Ser. Recherches sur les déformations. – 2008. - 55. – P. 49 – 58.

2.     Szpakowski V. S. Solution of general quadratic quaternionic equations // Bulletin de la Société des Sciences et des Lettres de Łódź 59, Ser. Recherches sur les déformations. – 2009. – 58. – P. 45 – 58.

3. В.С. Шпаковский Степенные ряды и ряды Лорана в трехмерной гармонической алгебре.

4. С.А. Плакса, В.С. Шпаковский Интегральные теоремы для дифференцируемых функций в трехмерной гармонической алгебре

5. S. A. Plaksa and V. S. Shpakovskii CONSTRUCTIVE DESCRIPTION OF MONOGENIC FUNCTIONS IN A HARMONIC ALGEBRA OF THE THIRD RANK

6.   Shpakivskyi V.S., Plaksa S.A., ”Integral theorems and a Cauchy formula in a commutative three-dimensional harmonic algebra”

7. S.A. Plaksa, S.V. Gryshchuk, and V.S. Shpakivskyi Commutative Algebras of Monogenic Functions associated with Classic Equations of Mathematical Physics

8. S.A. Plaksa, V.S. Shpakivskyi LIMITING VALUES OF THE CAUCHY TYPE INTEGRAL IN A THREE-DIMENSIONAL HARMONIC ALGEBRA

9. В. С.Шпаковский Об изоморфизме функциональных алгебр в гармонической алгебре с двумерным радикалом.

10. Cristina Flaut & Vitalii Shpakivskyi Some Identities in Algebras Obtained by the Cayley-Dickson Process

11. V. S. Shpakivskyi, T. S. Kuzmenko Monogenic functions of double variable

12. S. A. PLAKSA and V. S. SHPAKIVSKYI On limiting values of Cauchy type integral in a harmonic algebra with two-dimensional radical

13. Cristina Flaut & Vitalii Shpakivskyi Real Matrix Representations for the Complex Quaternions

14. Cristina Flaut & Vitalii Shpakivskyi On Generalized Fibonacci Quaternions and Fibonacci-Narayana Quaternions

15. S.A. Plaksa & V.S. Shpakivskyi Cauchy theorem for a surface integral in commutative algebras

16. Vitalii S. Shpakivskyi Linear Quaternionic Equations and Their Systems

17. Flaut C., Shpakivskyi V. An efficient method for solving equations in generalized quaternion and octonion algebras

18. Flaut C., Shpakivskyi V. Holomorphic functions in generalized Cayley-Dickson algebras

19.  Plaksa S. A., Shpakivskyi V. S. Monogenic functions in a finite-dimensional algebra with unit and radical of maximal dimensionality

20. Shpakivskyi V. Constructive description of monogenic functions in a finite-dimensional commutative associative algebra

21. V.S.Shpakivskyi, T.S.Kuzmenko, On one class of quaternionic mappings

22. Shpakivskyi V. S., Kuzmenko T. S. Integral theorems for the quaternionic G-monogenic mappings