Dragana Jankov Maširević
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Associate Professor Department of Mathematics Josip Juraj Strossmayer University of Osijek Trg Ljudevita Gaja 6 Osijek, HR-31000, Croatia,
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Research Interests
- Special functions;
- Neumann, Kapteyn and Schlomilch series;
- Integral representations; Summation formulas.
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
- Y. A. Brychkov, D. Jankov Maširević, T. Poganj, New expression for CDF of χν'2(λ) distribution and Marcum Q1 function, Results in mathematics, 77, 102 (2022), doi:10.1007/s00025-022-01634-3
- D. Jankov Maširević, T. Poganj, CDF of non-central χ2 distribution revisited. Incomplete hypergeometric type functions approach, Indagationes Mathematicae, 32 (4), 2021, 901-915.
- A. Baricz, D. Jankov Maširević, T. Poganj, Approximation of CDF of non-central chi-square distribution by mean-value theorems for integrals, Mathematics (2227-7390) 9; 129, 12 (2021)
- 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) doi:10.1080/10652469.2020.1807538
- D. Jankov Maširević, T. Poganj, Second type Neumann series of generalized Nicholson function, Results in mathematics, 75 (2020), 1; 12, 14 doi:10.1007/s00025-019-1138-0
- D. Jankov Maširević, T. Poganj, Integral Representations for Products of Two Bessel or Modified Bessel Functions, Mathematics, 7, 978 (2019)
- D. Jankov Maširević, T. Poganj, On new formulae for cumulative distribution function for McKay Bessel distribution, Communications in statistics -theory and methods, doi: 10.1080/03610926.2019.1632898
- 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
- D. Jankov Maširević, Summations of Schlomilsh series containing Anger function terms, Mathematica Slovaca 68/1 (2018), 103-114
- D. Jankov Maširević, On New Formulas for the Cumulative Distribution Function of the Noncentral Chi-Square Distribution, Mediterranean Journal of Mathematics (2017) 14:66. DOI: 10.1007/s00009-017-0874-1
- D. Jankov Maširević, T. Poganj, p-Extended Mathieu Series from the Schlomilch series Point of View, Vietnam Journal of Mathematics 45/4 (2017), 713-719
- D. Jankov Maširević, Rakesh K. Parmar, T. Poganj, (p,q)-extended Bessel and modified Bessel functions of the first kind, Results in Mathematics 72 (2017), 617-632
- D. Jankov Maširević, T. Poganj, Infinite summations of hypergeometric type terms by a probabilistic method, The Journal of Analysis 25/1 (2017), 83-92
- A. Baricz, S. Ponnusamy, S. Singh, D. Jankov Maširević, Bounds for the product of modified Bessel functions, Aequationes mathematicae 90/4 (2016), 859-870
- 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
- D. Jankov Maširević, Summations of Schlömilch series containing Struve function terms, Georgian Mathematical Journal 23/3 (2016), 363-366
- D. Jankov Maširević, S. Miodragović, Geometric median in the plane, Elemente der Mathematik 70 (2015), 21-32
- D. Jankov Maširević, T. Poganj, New summations of Neumann series of modified Bessel functions, The Journal of Analysis 23 (2015), 47-57
- 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
- D. Jankov Maširević, Sturm-Liouville problem and I-Bessel sampling, Acta Polytechnica Hungarica 12/2 (2015), 231-246
- 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
- D. Jankov Maširević, T. Poganj, Bounds on Čebyšev functional for C_φ[0,1] function class, The Journal of Analysis 22 (2014), 107-117
- D. Jankov Maširević, T. Poganj, On coefficients of Kapteyn-type series, Mathematica Slovaca 65/2 (2014), 403-410
- D. Jankov Maširević, T. Poganj, Bounds on weighted discrete Čebyšev functional, ProbStat Forum 6 (2013), 1-9
- 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
- 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
- D. Jankov Maširević, T. Poganj, Integral representation of functional series with members containing Jacobi polynomials, Mathematica Balkanica 26/1-2 (2012), 103-112
- D. Jankov Maširević, T. Poganj, Integral representation of Schlömilch series, Journal of Classical Analysis1/1 (2012), 75-84
- 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
- A. Baricz, D. Jankov Maširević, T. Poganj, Neumann series of Bessel functions, Integral Transforms and Special Functions 23/7 (2012), 529-538
- A. Baricz, D. Jankov Maširević, T. Poganj, Turán type inequalities for Krätzel functions, Journal of Mathematical Analysis and Applications 388/2 (2012), 716-724
- 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
- A. Baricz, D. Jankov Maširević, T. Poganj, Integral representation of first kind Kapteyn series, Journal of mathematical physics 52/4 (2011)
- 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
- 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
- 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, T. Vuković, Ekvipotentnost skupova: kako smjestiti beskonačno mnogo osoba u već pun Hilbertov hotel, Osječki matematički list, 21(2) (2021), 123-136
2. D. Jankov Maširević, T. Marković, Mjera s predznakom: može li rezultat mjerenja biti negativan broj?, Math.e, 38(1) (2020), 10-20
3. D. Jankov Maširević, M. Mikić, Kombinatorika i vjerojatnost -zajedno kroz ples, Osječki matematički list, 19(2) (2019), 123-136
4. D. Jankov Maširević, N. Keglević, Čebiševljeva i Markovljeva nejednakost u teoriji vjerojatnosti, Osječki matematički list 17 (2017), 125-137
5. D. Jankov Maširević, M. Klarić, Primjena Bayesove formule i algoritamskog pristupa Bayesovoj formuli na situacijama iz svakodnevnog života,Math.e, 31 (2017)
6. D. Jankov Maširević, A. Kozić, Geometrijska vjerojatnost u svakodnevnom životu, Osječki matematički list 15/1 (2015), 19-31
7.. D. Jankov Maširević, J. Jankov, Zanimljive rekurzije, Matematičko fizički list 3/259 (2015)
8. D. Jankov Maširević, I. Papić, Tri klasična problema, Osječki matematički list 12 (2012), 11-19
9. D. Jankov, Egipatski razlomci, Osječki matematički list, 11 (2011), 11-18
Books
1. D. Jankov Maširević, Zbirka riješenih zadataka iz teorije mjere i integracije, Sveučilište J. J. Strossmayera, Odjel za matematiku, Osijek, 2014.
2. A. Baricz, D. Jankov Maširević, T. K. Poganj, Series of Bessel and Kummer Type Functions, Lecture Notes in Mathematics 2207, Springer, Cham, Switzerland, 2018.
Projects
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Inequalities and Applications
Project leader: prof. dr. sc. Josip Pečarić, University of Zagreb. Project was funded in 2014 by the Croatian Science Foundation.
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Problem procjene parametara u nekim dvoparametarskim monotonim matematičkim modelima
Project 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.
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Statistical Aspects of Parameter Estimation in Nonlinear Parametric Models
Project 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
- 12th International Conference on Operational Research, September 24 – 26, 2008, Pula, Croatia (short communication)
- 2nd Conference of the Central European Network, September 12 – 16, 2011, Zurich, Switzerland (short communication)
- 16th Young Statisticians Meeting, October 14– 16, 2011, Rijeka, Croatia (short communication)
- 5th Croatian Mathematical Congress, June 18 - 21, 2012, Rijeka, Croatia (short communication)
- CINTI 2013, 14th IEEE International Symposium on Computational Intelligence and Informatics, November 19 - 21, 2013, Budapest, Hungary (short communication)
- 5th International Conference on Mathematics and Informatics, September 2 - 4, 2015, Targu Mures, Romania (short communication)
- Workshop on Special Functions, September 8, 2015, Cluj-Napoca, Romania (short communication)
- 6th Croatian Mathematical Congress, June 14-17, 2016, Zagreb, Croatia (short communication)
- 15th International Symposium on Orthogonal Polynomials, Special Functions and Applications (OPSFA), July, 22-26, 2019, Hagenberg, Austria (short communication)
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Since 2014. member of committee for teacher credentialing, appointed by Education and Teacher Training Agency.
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Zimska matematička škola (Winter math school):
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- 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
Konzultacije (Office Hours): Nakon održanih predavanja/vježbi/seminara. Konzultacije su moguće i po dogovoru.
Zimski semestar (2022./2023.)
Ljetni semestar (2022./2023.)
Sve teme za završne/diplomske radove u akademskoj 2022./2023. su zauzete.
Personal
- Birthdate: January 05, 1985
- Birthplace: Vukovar, Croatia
- Family: Married, daughter Dunja, son Luka