Associate Professor

Dragana Jankov Maširević

djankov@mathos.hr
+385-31-224-824
30 (ground floor)
School of Applied Mathematics and Informatics

Josip Juraj Strossmayer University of Osijek

Research Interests

  • Special functions;
  • Neumann, Kapteyn and Schlomilch series;
  • Integral representations; Summation formulas; Application in Probability Theory

Degrees

  • PhD in Mathematical Analysis, Department of Mathematics, University of Zagreb, 2011.
  • BSc in Mathematics and Computer Science, Department of Mathematics, University of Osijek, Croatia, 2007.

Publications

Journal Publications

  1. K. Gorska, A. Horzela, D. Jankov Maširević, T. Poganj, On Distribution of Rice–Middleton Model, Acta Biotheoretica 79 (2024)
  2. D. Jankov Maširević, T. Poganj, Bounds for confluent Horn function Φ2 deduced by McKay Iν Bessel law, Rad HAZU, Matematičke znanosti. 27 (2023), 123-131
  3. D. Jankov Maširević, T. Poganj, Functional bounds for Exton's double hypergeometric X function, Journal of Mathematical Inequalities 17/1 (2023), 259-267
  4. Y. A. Brychkov, D. Jankov Maširević, T. Poganj, New expression for CDF of $\chi_n'^{\;2}(\lambda)$ distribution and Marcum Q_1 function, Results in Mathematics 77/102 (2022)
  5. K. Gorska, A. Horzela, D. Jankov Maširević, T. Poganj, Observations on the McKay Iν Bessel distribution, Journal of Mathematical Analysis and Applications 516/1 (2022)
  6. A. Baricz, D. Jankov Maširević, T. Poganj, Approximation of CDF of non-central chi-square distribution by mean-value theorems for integrals, Mathematics 9/2 (2021)
  7. D. Jankov Maširević, T. Poganj, CDF of non-central χ2 distribution revisited. Incomplete hypergeometric type functions approach, Indagationes Mathematicae 32/4 (2021), 901-915
  8. D. Jankov Maširević, T. Poganj, On a second type Neumann series of modified Bessel functions of the first kind, Integral Transforms and Special Functions (2020), prihvaćen za objavljivanje
  9. D. Jankov Maširević, T. Poganj, Second Type Neumann Series of Generalized Nicholson Function, Results in Mathematics 75/12 (2020)
  10. D. Jankov Maširević, T. Poganj, Integral Representations for Products of Two Bessel or Modified Bessel Functions, Mathematics 7/10 (2019)
  11. D. Jankov Maširević, T. Poganj, On new formulae for cumulative distribution function for McKay Bessel distribution, Communications in Statistics - Theory and Methods (2019), prihvaćen za objavljivanje
  12. D. Jankov Maširević, T. Poganj, On series representations for modified Bessel function of second kind of integer order, Integral Transforms and Special Functions 30/3 (2019), 181-189
  13. D. Jankov Maširević, Summations of Schlomilch series containing Anger function terms, Mathematica Slovaca 68/1 (2018), 103-114
  14. D. Jankov Maširević, R.K. Parmar , T. Poganj, (p, q)-Extended Bessel and Modified Bessel Functions of the First Kind, Results in Mathematics 72 (2017), 617-632
  15. D. Jankov Maširević, T. Poganj, Infinite summations of hypergeometric type terms by a probabilistic method, The Journal of Analysis 25/1 (2017), 83-92
  16. D. Jankov Maširević, On New Formulas for the Cumulative Distribution Function of the Noncentral Chi-Square Distribution, Mediterranean Journal of Mathematics 14/66 (2017)
  17. D. Jankov Maširević, T. Poganj, p -Extended Mathieu Series from the Schlömilch Series Point of View, Vietnam Journal of Mathematics 45/4 (2017), 713-719
  18. A. Baricz, S. Ponnusamy, S. Singh, D. Jankov Maširević, Bounds for the product of modified Bessel functions, Aequationes mathematicae 90/4 (2016), 859-870
  19. D. Jankov Maširević, Summations of Schlomilch series containing some Lommel functions of the first kind terms, Integral Transforms and Special Functions 27/2 (2016), 153-162
  20. D. Jankov Maširević, Summations of Schlömilch series containing Struve function terms, Georgian Mathematical Journal 23/3 (2016), 363-366
  21. D. Jankov Maširević, S. Miodragović, Geometric median in the plane, Elemente der Mathematik 70 (2015), 21-32
  22. D. Jankov Maširević, T. Poganj, New summations of Neumann series of modified Bessel functions, The Journal of Analysis 23 (2015), 47-57
  23. A. Baricz, D. Jankov Maširević, T. Poganj, R. Szasz, On an identity for zeros of Bessel functions, Journal of Mathematical Analysis and Applications 422/1 (2015), 27-36
  24. D. Jankov Maširević, Sturm-Liouville problem and I-Bessel sampling, Acta Polytechnica Hungarica 12/2 (2015), 231-246
  25. D. Jankov Maširević, Summations of Schlömilch series containing modified Bessel function of the second kind terms, Integral Transforms and Special Functions 26/4 (2015), 273-281
  26. D. Jankov Maširević, T. Poganj, Bounds on Čebyšev functional for C_φ[0,1] function class, The Journal of Analysis 22 (2014), 107-117
  27. D. Jankov Maširević, T. Poganj, On coefficients of Kapteyn-type series, Mathematica Slovaca 65/2 (2014), 403-410
  28. D. Jankov Maširević, T. Poganj, Bounds on weighted discrete Čebyšev functional, ProbStat Forum 6 (2013), 1-9
  29. A. Baricz, D. Jankov Maširević, T. Poganj, Integral representations of Dini series of Bessel functions, Integral Transforms and Special Functions 24/8 (2013), 628-635
  30. D. Jankov Maširević, T. Poganj, Andreev-Korkin identity, Saigo fractional integration operator and $Lip_L(α)$ functions, Journal of Mathematical Physics, Analysis and Geometry 8/2 (2012), 144-157
  31. D. Jankov Maširević, T. Poganj, Integral representation of functional series with members containing Jacobi polynomials, Mathematica Balkanica 26/1-2 (2012), 103-112
  32. D. Jankov Maširević, T. Poganj, Integral representation of Schlömilch series, Journal of Classical Analysis 1/1 (2012), 75-84
  33. D. Jankov Maširević, A. Baricz, T. Poganj, Integral representations for Neumann-type series of Bessel functions $I_nu, $ $Y_nu$ and $K_nu$, Proceedings of the American Mathematical Society 140/3 (2012), 951-960
    Recently Pog'any and S"uli [Proc. Amer. Math. Soc. 137(7)(2009), 2363-2368] derived a closed-form integral expression for Neumann series of Bessel functions of the first kind $J_nu$. In this note our aim is to establish analogous integral representations for the Neumann-type series of modified Bessel functions of the first kind $I_nu$, for Bessel functions of the second kind $Y_nu, K_nu$ and to give links for the same question for the Hankel functions $H_nu^(1) ; H_nu^(2)$.
  34. A. Baricz, D. Jankov Maširević, T. Poganj, Neumann series of Bessel functions, Integral Transforms and Special Functions 23/7 (2012), 529-538
  35. A. Baricz, D. Jankov Maširević, T. Poganj, Turán type inequalities for Krätzel functions, Journal of Mathematical Analysis and Applications 388/2 (2012), 716-724
  36. D. Jankov Maširević, T. Poganj, R.K. Saxena, Extended general Hurwitz-Lerch Zeta function as Mathieu (a, lambda) - series, Applied mathematics letters 24/8 (2011), 1473-1476
  37. A. Baricz, D. Jankov Maširević, T. Poganj, Integral representation of first kind Kapteyn series, Journal of mathematical physics 52/4 (2011)
    The main aim of this research note is to establish two different types of integral representation formulae for the Kapteyn series of the first kind. The first one is a double definite integral expression, while the second type includes indefinite integral representation formula.
  38. R.K. Saxena, T. Poganj, R. Saxena, D. Jankov Maširević, On generalized Hurwitz-Lerch Zeta distributions occuring in statistical inference, Acta Universitatis Sapientiae Mathematica 3/1 (2011), 43-59
  39. D. Jankov Maširević, T. Poganj, E. Suli, On the coefficients of Neumann series of Bessel functions, Journal of Mathematical Analysis and Applications 380/2 (2011), 628-631
  40. H.M. Srivastava, D. Jankov Maširević, T. Poganj, R.K. Saxena, Two-Sided Inequalities for the Extended Hurwitz-Lerch Zeta Function, Computers & Mathematics with Applications 62/1 (2011), 516-522


Refereed Proceedings

  1. D. Jankov Maširević, T. Poganj, A. Baricz, A. Galántai, Sampling Bessel functions and Bessel sampling, 8th International Symposium on Applied Computational Intelligence and Informatics, Timisoara, Romania, 2013, 79-84
  2. M. Benšić, D. Jankov Maširević, Parameter estimation for a three-parameter Weibull distribution - a comparative study, 12th International Conference on Operational Research, Pula, Croatia, 2008, 159-164


Others

  1. D. Jankov Maširević, M. Mikić, Kombinatorika i vjerojatnost – zajedno kroz ples, Osječki matematički list 19/2 (2019), 123-136
  2. D. Jankov Maširević, N. Keglević, Čebiševljeva i Markovljeva nejednakost u teoriji vjerojatnosti, Osječki matematički list 17 (2018), 125-137
    U ovom članku su, u vjerojatnosnom kontekstu, navedene i dokazane Čebiševljeva i Markovljeva nejednakost koje imaju značajnu primjenu u području teorije vjerojatnosti. Također, dani su primjeri problema iz svakodnevnoga života koji se mogu riješiti pomoću danih nejednakosti.
  3. D. Jankov Maširević, M. Klarić, Primjena Bayesove formule i algoritamskog pristupa Bayesovoj formuli na situacijama iz svakodnevnog života, Math.e : hrvatski matematički elektronski časopis 31 (2017)
    U ovom članku je opisana Bayesova formula kao i algoritamski pristup korištenja Bayesove formule, koji je pogodan zbog jednostavnosti računanja uz upotrebu tablice (umjesto direktnog uvrštavanja u formulu). Također, dani su primjeri problema iz svakodnevnoga života čije je rješenje ilustrirano primjenom oba navedena pristupa.
  4. D. Jankov Maširević, A. Kozić, Geometrijska vjerojatnost u svakodnevnom životu, Osječki matematički list (2015), prihvaćen za objavljivanje
  5. D. Jankov Maširević, J. Jankov Pavlović, Zanimljive rekurzije, Matematičko fizički list 3/259 (2015)
  6. D. Jankov Maširević, I. Papić, Tri klasična problema, Osječki matematički list 12 (2012), 11-19
  7. D. Jankov Maširević, Egipatski razlomci, Osječki matematički list 11 (2011), 11-18


Books

  1. D. Jankov Maširević, Teorija odlučivanja, Sveučilište J. J. Strossmayera u Osijeku - Odjel za matematiku, Osijek, 2022.
  2. D. Jankov Maširević, Zbirka riješenih zadataka iz teorije mjere i integracije, Sveučilište J.J.Strossmayera, Odjel za matematiku, Osijek, 2014.


Projects

  • GAMe-based learning in MAthematics (GAMMA), Erasmus+ projekt  (KA201). Projekt was funded in 2020. and it ends in 2023. Project leader: izv. prof. dr. sc. Mirela Jukić Bokun
  • Inequalities and Applications Project leader: prof. dr. sc. Josip Pečarić, University of Zagreb. Project was funded in 2014 by the Croatian Science Foundation.
  • Problem procjene parametara u nekim dvoparametarskim monotonim matematičkim modelimaProject leader: doc. dr. sc. Darija Marković, Deptartment of Mathematics, University of Osijek. Project was funded by J. J. Strossmayer University of Osijek, since July 2013.
  • Statistical Aspects of Parameter Estimation in Nonlinear Parametric ModelsProject leader: prof. dr. sc. Mirta Benšić, Deptartment of Mathematics, University of Osijek. Scientific project of the Croatian Ministry of Science, Education and Sports (235-2352818-1039).

Professional Activities

Conferences and Workshops
 Service Activities
  • Since 2014. member of committee for teacher credentialing, appointed by Education and Teacher Training Agency.
  • Zimska matematička škola (Winter math school):
    • 2018./2019. lecture – Primjena geometrijske vjerojatnosti u situacijama iz svakodnevnog života
    • 2012./2013. lecture – Zanimljive rekurzije
    • 2011./2012. lecture – Tri klasična problema
    • 2010./2011. lecture – Geometrijski medijan u ravnini
  • Večer matematike
    • 2014./2015. lecture – Zanimljive rekurzije na djelu
    • 2019./2020. lecture -Kombinatorika i vjerojatnost – zajedno kroz ples 

Teaching

Winter semester (2023./2024.)

Summer semester (2023./2024.)

Personal

  • Birthdate: January 05, 1985
  • Birthplace: Vukovar, Croatia
  • Family: Married with Nikola, daughter Dunja, son Luka