Personal Details

  • Address:
         University of Zagreb
         Faculty of Electrical Engineering and Computing
         Department of Applied Mathematics
         Unska 3, 10000 Zagreb, Croatia
  • e-mail: tomislav.buric@fer.hr
  • languages: Croatian (first), English (fluent)
     

Education

  • October 2007 - September 2011: PhD studies in mathematics
    Department of Mathematics, Faculty of Science, University of Zagreb, Croatia
    Main area: mathematical analysis; special functions
    PhD thesis: Asymptotic expansions of the gamma function and quotient of gamma functions, September 2011, supervisor: Professor Neven Elezović
  • September 2002 - June 2007: Graduate studies in telecommunication and informatics
    Faculty of Electrical Engineering and Computing, University of Zagreb, Croatia
    Main area: Applied mathematics and machine learning
    Master thesis: Learning set of rules based on first order logic, June 2007
     

Employment

  • 2019 - 2024: Associate Professor
    2015 - 2019: Assistant Professor
    2011 - 2015: Senior assistant (postdoc)
    2007 - 2011: Research associate
    Department of Applied Mathematics, Faculty of Electrical Engineering and Computing, University of Zagreb, Croatia
     

​Awards and scholarships

  • 2015 Endeavour Research Fellowship, Australian Government
  • 2012 ”Roberto Giannini” award for excellence in teaching and working with students
    Faculty of Electrical Engineering and Computing, University of Zagreb, Croatia
  • 2003, 2005 Acknowledgement ”Josip Lončar” for excellent achievements in graduate studies
    Faculty of Electrical Engineering and Computing, University of Zagreb, Croatia
  • October 2004 - February 2007 The City of Zagreb Student Scholarship

 

Research

Research interests: mathematical analysis and applications, asymptotic expansions and approximations, special functions

Selected publications:

  1. T. Burić, L. Mihoković, Asymptotic approximations of expectations of power means. Statistica Neerlandica (2023); 1-18
  2. T. Burić, N. Elezović, L. Mihoković, Expectations of large data means, Journal of Mathematical Inequalities 17 (2023), 1; 403-418
  3. T. Burić, Improvements of asymptotic approximation formulas for the factorial function, Applicable Analysis and Discrete Mathematics 13 (2019); 895-904
  4. T. Burić, N. Elezović, Computation and analysis of the asymptotic expansions of the compound means, Appl. Math. Comput. 303 (2017), 48-54.
  5. T. Burić, Asymptotic analysis of the iterative power means, J. Math. Anal. Appl. 433 (2016), 701-705
  6. T. Burić, N. Elezović, Asymptotic expansion of the arithmetic-geometric mean and related inequalities, J. Math. Inequal. 9 (2015); 1181-1190.
  7. T. Burić, N. Elezović, L. Vukšić, Appell polynomials and asymptotic expansions, Medditerian J. Math. 13 (2016), 899-912.
  8. T. Burić, N. Elezović, Asymptotic expansions of the binomial coefficients, J. Appl. Math. Comp. 46 (2014), 135-145.
  9. T. Burić, N. Elezović, Approximants of the Euler-Mascheroni constant and harmonic numbers, Appl. Math. Comput., 222 (2013), 604-611.
  10. T. Burić, N. Elezović, New asymptotic expansions of the gamma function and improvements of Stirling's type formulas, J. Comput. Anal. Appl., 13 (2011), 785-795.
  11. T. Burić, N. Elezović, Bernoulli polynomials and asymptotic expansions of the quotient of gamma functions, J. Comput. Appl. Math., 235 (2011), 3315-3331.

Some recent international conference talks:

  • Expectations of large data power means. XIII Annual International Conference of the Georgian Mathematical Union, Batumi, Georgia, September 2023.
  • Comparison of exact and heuristic methods for numerical approximation of functions. International Conference on Mathematics and Computer Science, Brasov, Romania, September 2022.
  • Complete asymptotic expansion of the Gauss compound mean. 7th Croatian Mathematical Congress, Split, Croatia, June 2022.
  • Computation and analysis of the asymptotic behaviour of the compound means. Computational Methods and Function Theory, Chile, siječanj 2022.
  • New asymptotic expansions and improvements of approximation formulas for the gamma function, Computational Methods and Function Theory, Lublin, Poland, July 2017.
  • Asymptotic analysis of the iterative means, Seminar for Pure Mathematics, University of Queensland, Australia, February 2016.
  • Asymptotic formulas for the binomial coefficients and the Catalan numbers, 39. Australasian Conference on Combinatorial Mathematics and Combinatorial Computing, University of Queensland, Australia, December 2015.
  • Asymptotic expansions for the gamma and related functions, Seminar for Pure Mathematics, University of Queensland, Australia, September 2015.
  • Asymptotic expansions of the multiple quotients of the gamma functions with applications, International Conference on Mathematical Inequalities and Nonlinear Functional Analysis with Applications, Jinju, Korea, July 2012.
  • Some completely monotonic functions related to the psi function, International Conference on Mathematical Inequalities and Applications, Lahore, Pakistan, March 2010.
     

Other activities: 

  • May 2015 - present: Associate Editor for Journal of Mathematical Inequalities
     

Teaching

Faculty of Electrical Engineering and Computing

  • Graduate study: Decision and game theory (2023-present), Complex Analysis (2012-2022)
  • Undergraduate study: Mathematical Analysis 1 and 2 (2018-present), Probability and statistics (2012-2018)

Published university textbook:

  • T. Burić et al., Vector Analysis for Mathematics 3, Element, Zagreb (2013)