Introduction
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 villages 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 Informatics, 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. Moreover, since 2017 I teach in English the asymptotic analysis of special functions for applied mathematics master students at Institute of Applied Mathematics, Óbuda University.
My research interests include orthogonal polynomials and special functions, complex function theory, analytic inequalities 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 T.K. Pogány] Constructive Approximation 58(3) (2023) 713-783.
Asymptotic expansions for the radii of starlikeness of normalised Bessel functions [with Gergő Nemes], Journal of Mathematical Analysis and Applications 494(2) (2021) Art. 124624.
Zeros of orthogonal polynomials near an algebraic singularity of the measure [with Tivadar Danka], Constructive Approximation 47(3) (2018) 407-435.
On the generalization of the Lambert W function [with István Mező], Transactions of the American Mathematical Society 369(11) (2017) 7917-7934.
Bounds for the asymptotic order parameter of the stochastic Kuramoto model [with István Mező], Journal of Approximation Theory 217 (2017) 1-14.
Bounds for Turánians of modified Bessel functions, Expositiones Mathematicae 33(2) (2015) 223-251.
The radius of convexity of normalized Bessel functions of the first kind [with Róbert Szász], Analysis and Applications 12(5) (2014) 485-509.
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.
Turán type inequalities for generalized complete elliptic integrals, Mathematische Zeitschrift 256(4) (2007) 895-911.