Welcome to my professional web page! My name is Árpád Baricz. I was born in Gheorgheni [Gyergyószentmiklós], Harghita [Hargita] county, Romania on September 7, 1981, and spent my childhood in the villages of Joseni [Gyergyóalfalu] and Ciumani [Gyergyócsomafalva].
I received my Bachelor of Science [B.Sc.], Master of Science [M.Sc.], and Doctor of Philosophy [Ph.D.] degrees in mathematics from Faculty of Mathematics and Computer Science, Babeş-Bolyai University of Cluj-Napoca [Kolozsvár], Romania, in 2003, 2004, and 2008, respectively. In 2008 I also received a Ph.D. degree in mathematics from the Institute of Mathematics, University of Debrecen, Hungary. I am full professor at Department of Business Administration, Extension Sfântu Gheorghe, Faculty of Economics and Business Administration, Babeş-Bolyai University, Cluj-Napoca, Romania and at Institute of Applied Mathematics, John von Neumann Faculty of Informatics, Óbuda University, Budapest, Hungary.
Since 2006 I teach in Hungarian and Romanian probability theory and statistics for economics students at Department of Business Administration, Extension Sfântu Gheorghe, Faculty of Economics and Business Administration, Babeș-Bolyai University. Since 2017 I also teach in English the asymptotic analysis of special functions for applied mathematics master students at Institute of Applied Mathematics, Óbuda University. In addition, in 2025, I taught a course on special functions in Hungarian to mathematics students at the Faculty of Mathematics and Computer Science at Babeș-Bolyai University.
My research interests include orthogonal polynomials and special functions, complex function theory, analytic inequalities, probability theory and recently I am also interested in Riemann-Hilbert problems and asymptotic analysis, especially in the steepest descent method for Riemann-Hilbert problems. Listed below are some of my selected scientific papers that give a perspective on some of my research areas:
Probabilistic and analytical aspects of the symmetric and generalized Kaiser-Bessel window function [with Tibor Pogány] Constructive Approximation 58(3) (2023) 713-783.
Zeros of orthogonal polynomials near an algebraic singularity of the measure [with Tivadar Danka], Constructive Approximation 47(3) (2018) 407-435.
Turán type inequalities for Tricomi confluent hypergeometric functions [with Mourad Ismail], Constructive Approximation 37(2) (2013) 195-221.
On the monotonicity, log-concavity and tight bounds of the generalized Marcum and Nuttall Q-functions [with Yin Sun, Shidong Zhou], IEEE Transactions on Information Theory 56(3) (2010) 1166-1186.
New bounds for the generalized Marcum Q-function [with Yin Sun], IEEE Transactions on Information Theory 55(7) (2009) 3091-3100.