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
- February 2015 - present: Assistant Professor of mathematics
October 2011 - January 2015: Senior assistant
July 2007 - September 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, mathematical modeling
Scientific publication list:
- T. Burić, N. Elezović, Computation and analysis of the asymptotic expansions of the compound means, Appl. Math. Comput. 303 (2017), 48-54.
- T. Burić, Asymptotic analysis of the iterative power means, J. Math. Anal. Appl. 433 (2016), 701-705
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J. Appl. Math. Comp. 46 (2014), 135-145.
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T. Burić, N. Elezović, Asymptotic expansion of the arithmetic-geometric mean and related inequalities, J. Math. Inequal. 9 (2015); 1181-1190.
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T. Burić, N. Elezović, L. Vukšić, Appell polynomials and asymptotic expansions, Medditerian J. Math. 13 (2016), 899-912.
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T. Burić, N. Elezović, Asymptotic expansions of the binomial coefficients, J. Appl. Math. Comp. 46 (2014), 135-145.
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T. Burić, N. Elezović, L. Vukšić, Asymptotic expansions of the gamma function and Wallis function through polygamma functions, Integr. Transf. Spec. F. (2014), 163-172.
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T. Burić, N. Elezović, R. Šimić, Asymptotic expansions of the multiple quotients of gamma functions with applications, Math. Inequal. Appl. 16 (2013), 1150-1170.
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T. Burić, N. Elezović, Approximants of the Euler-Mascheroni constant and harmonic numbers, Appl. Math. Comput., 222 (2013), 604-611.
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T. Burić, N. Elezović, New asymptotic expansion of the quotient of gamma functions, Integr. Transf. Spec. F., 23 (2012), 355-368.
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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.
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T. Burić, N. Elezović, Bernoulli polynomials and asymptotic expansions of the quotient of gamma functions, J. Comput. Appl. Math., 235 (2011), 3315-3331.
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J. Bukac, T. Burić, N. Elezović, Stirling's formula revisited via some new and classical inequalities, Math. Inequal. Appl., 14 (2011), 235-245.
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T. Burić, N. Elezović, Some completely monotonic functions related to the psi function, Math. Inequal. Appl., 14 (2011), 679-691.
International conference talks:
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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, 6th Croatian Mathematical Congress, Zagreb, Croatia, June 2016.
- 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 iterative means and related inequalities, International Conference on Mathematical Inequalities and Applications, Trogir, Croatia, June 2014.
- 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.
- Asymptotic expansions of the multiple quotients of the gamma functions, 5th Croatian Mathematical Congress, Rijeka, Croatia, May 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
- Lecturer, graduate study: Complex Analysis (Fall 2012-2018)
- Lecturer, undergraduate study: Mathematics 1 (Fall 2011, 2012), Probability and statistics (Spring 2012-2018)
- Teaching assistant, graduate study: Complex Analysis (2008 - 2012)
- Teaching assistant, undergraduate study: Laboratory and Skills - Mathematics on Computer (2007-2011), Mathematics 3 (2007-2009), Probability and statistics (2007-2011), Mathematical modelling using Wolfram Mathematica (2007-2011)
Faculty of Mechanical Engineering and Naval Architecture
- Lecturer, undergraduate study: Mathematics 1 (Fall 2013, 2014), Mathematics 2 (Spring 2014, 2015)
Published textbooks:
- T. Burić et al., Vector Analysis for Mathematics 3, Element, Zagreb (2010)