Mgr. Marian Genčev, Ph.D.
Function
Faculty/Centre
EKF - Faculty of Economics
Profile URL
Contact
E-mail
Phone
Office
C260
Address
Sokolská třída 2416/33, 702 00 Ostrava - Moravská Ostrava
Map
Consulting hours
- electronic consultation
- MS Teams (by appointment),
- e-mail
- personal consultation (C260)
Education
Research Interests
- transformations and evaluations of infinite series
- Riemann and Hurwitz multiple zeta-star values
- general K-fold infinite series
- Gini coefficient
Teaching
Coordinating Subjects
Theses
Other activities
ORCID
Selected Publications
Selected Publications
- Genčev, M. Extension of Hoffman's combinatorial identity via specific zeta-like series. Results Math. 79:2, (2024). (https://link.springer.com/article/10.1007/s00025-023-02035-w).
- Genčev, M. On a parametric K-fold series and its connection to Nielsen-Kölbig relations. J. Math. Anal. Appl. 522 (2023), Iss. 2, Article 126978. (https://doi.org/10.1016/j.jmaa.2022.126978).
- Genčev, M., Šalounová D. First- and second-order linear difference equations with constant coefficients: suggestions for making the theory more accessible. Int. J. Math. Educ. Sci. Technol. 54:7 (2023), 1349-1372. (https://doi.org/10.1080/0020739X.2022.2140081). First 50 copies are free, use this link.
- Genčev, M. A weighted sum formula for alternating multiple zeta-star values. Mediterr. J. Math. 18, 236 (2021). (https://rdcu.be/czqP6).
- Genčev, M. Vícejazyčné pseudonáhodné generování písemných testů z databází [Multilingual pseudorandomly generated tests from databases]. Zpravodaj Československého sdružení uživatelů TeXu 1-2 (2020), 12-47. (https://www.cstug.cz/bulletin/pdf/2020-1-2.pdf).
- Genčev, M. A note on a property of the Gini coefficient. Commun. Math. 27 (2019), 81-88. (https://doi.org/10.2478/cm-2019-0008).
- Genčev, M. On some weighted sum formulas involving general multiple zeta-type series. J. Number Theory 205 (2019), 124-147. (https://doi.org/10.1016/j.jnt.2019.05.003)
- Genčev, M., Musilová, D., Široký, J. Matematický model Giniho koeficientu a zhodnocení redistribuční funkce daňového systému České republiky. Politická ekonomie 66:6 (2018), 732-750. (https://www.vse.cz/polek/1232).
- Genčev, M. On a Proof of the Inequality Between the Arithmetic and Geometric Means. Amer. Math. Monthly. 125 (2018), Iss. 7, 650-652. (https://doi.org/10.1080/00029890.2018.1470422)
- Genčev, M. Transformation of generalized multiple Riemann zeta type sums with repeated arguments. J. Math. Anal. Appl. 449 (2017), Iss. 1, 490-513. (https://doi.org/10.1016/j.jmaa.2016.12.023)
- Genčev, M. Generalization of the non-local derangement identity and applications to multiple zeta-type series. Monatsh. Math. 184 (2017), Iss. 2, 217-243. (http://rdcu.be/kNZo).
- Genčev, M. On restricted sum formulas for multiple zeta values with even arguments. Arch. Math. 107 (2016), Iss. 1, 9-22. (http://rdcu.be/nszT)
- Genčev M. A transformation of certain infinite series based on the non-local derangement identity. Ramanujan J. 25 (2011), No. 3, 369-387. (https://link.springer.com/article/10.1007/s11139-011-9303-4)
- Genčev M. Binomial Sums Involving Harmonic Numbers. Math. Slovaca 61 (2011), No. 2, 215-226. (https://www.degruyter.com/downloadpdf/journals/ms/61/2/article-p215.xml)
- Genčev M. Evaluation of Infinite Series Involving Special Products and Their Algebraic Characterization. Math. Slovaca 59 (2009), No. 3, 365-378.
