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 descriptive statistics, as well as in Hungarian inferential statistics and econometrics 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 course 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 special functions and related problems in mathematical analysis, complex analysis, probability theory, and electrical engineering applications. Listed below are some of my selected scientific papers that give a perspective on some of my research areas:
Infinitely divisible modified Bessel distributions [with D.K. Prabhu, S. Singh, V.A. Vijesh]. Pacific Journal of Mathematics 343(2) (2026) 261-313.
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.