Associate Professor of the Department of Applied Mathematics, responsible for the organization and conduct of student internships.
Education, Scientific Degrees, Academic Ranks
2005
Associate professor at the Department of Applied Mathematics,
Lviv Polytechnic National University, Lviv, Ukraine.
2000
PhD in Mathematical Science,
Specialty 01.01.01 – Mathematical Analysis,
Lviv Ivan Franko National University, Lviv, Ukraine.
Dissertation: “Approximation of Appel’s hypergeometric functions by branched continuous fractions”
1998
Studied in graduate school,
Lviv Polytechnic State University, Lviv, Ukraine
1993
Graduated from the Faculty of Electrophysics (Department of Applied Mathematics),
Specialization – Engineer Mathematician,
Lviv Polytechnic State University, Lviv, Ukraine
Educational Work
• Teaches the disciplines “Discrete Math”, “Financial mathematics” for bachelor students of the Department of Applied Mathematics at Lviv Polytechnic National University;
• Supervises Master's and Bachelor’s thesis projects;
• Published several tutorials and electronic teaching aids.
Analytical theory of branched chain fractions, theory of approximations of functions of many variables.
Awards and Honors
• Certificate of Internship completion in the Scientific-Technical Union of Mechanical Engineering, Sofia, Bulgaria (2022)
Main Scientific Publications
Hladun V. R., Hoyenko*** N. P., Manziy O. S., Ventyk L. S. On convergence of function F4(1,2;2,2;z1,z2) expansion into a branched continued fraction // Mathematical Modeling and Computing. – 2022. – Vol. 9, № 3. – P. 767–778.
Manziy O.S., Senyk A.P., Ivanyk* I.Yu., Stepaniuk*** O.I., Senyk*** Yu.A. Information system for supporting dynamic diversification of investment financing // Galician Economic Bulletin. – 2022. – No. 4 (77). – pp. 33–44.
Senyk A.P., Manziy O.S., Futryk* Yu.V., Stepanyuk*** O.I., Senyk*** Yu.A. Information system for supporting decision-making processes in the formation of a portfolio of securities // Visnyk Lviv Polytechnic National University. Series: Information systems and networks. – 2022. – Issue 11. – pp. 39–55.
Gladun V. R., Goyenko*** N. P., Ventyk L. S., Manziy O. S. On the calculation of the hypergeometric function F4 (1,2;2,2; z1, z2 ) using the branched chain fraction of a special view // Physico-mathematical modeling and information technologies: scientific collection. – 2021. – No. 32. – P. 86–90.
Hoyenko*** Natalka, Manziy O., Ventyk L. Approximation of appell function f4(1, 2; 2, 2, z1, z2) by multidimensional c–fraction // Abstracts of XI International Skorobohatko mathematical conference (October 26–30, 2020, Lviv). – 2020. – C. 42.
Gladun V. R., Manziy O. S., Pabirivskyi V. V. Some properties of remainders of approximate fractions of branched chain fractions with positive elements // Bulletin of the National University "Lviv Polytechnic". Series: Physical and mathematical sciences. – 2017. – No. 871. – P. 65–69.
Manziy O. S., Hladun V. R., Ventyk L. S. The algorithms of constructing the continued fractions for any rations of the hypergeometric Gaussian functions // Mathematical Modeling and Computing. – 2017. – Том 4 № 1. – С. 48–58.
Main Books, Monographs, Educational and Methodical works
Andreychuk S. K. Modern communication networks: a study guide / S. K. Andreychuk, O. S. Manziy, L. D. Klymanska, M. V. Shkolyar. – Lviv: ZUKTS, 2022. – 145 c.
Yaroshko S. M. Financial mathematics. Part 1: study guide / S. M. Yaroshko, O. S. Manziy. – Lviv: ZUKTS, 2021. – 210 c.
V. M. Picha Sociology: terms and concepts: educational dictionary-reference / V. M. Picha, T. G. Tyurina, L. D. Klymanska, S. M. Povtareva, M. V. Shkolyar, V. Ye. Savka, N. A. Umanets, U. V. Ilnytska, O. S. Manziy. – Lviv: Novy Svit-2000, 2021. – 658 c.
V. M. Picha Sociology: terms and concepts: educational dictionary-reference / V. M. Picha, M. V. Shkolyar, O. S. Manziy, T. G. Tyurina, V. E. Savka, L. D. Klymanska, N. A. Umanets, U. V. Ilnytska, S. M. Povtareva, N. V. Kovalisco. – Lviv: Novy Svit-2000, 2018. – 502 c.
Manziy O. S. Discrete mathematics. Workshop: study guide / O.S. Manziy, I.E. Tesak, I.I. Kavalets, N.V. Charkovska. – Lviv: "Lviv Polytechnic", 2016. – 212 c.
Hobbies
Sports: tourism, kayaking, mountain skiing.
Needlework: knitting, crocheting.