Foto del docente

Daniele Ritelli

Associate Professor

Department of Statistical Sciences "Paolo Fortunati"

Academic discipline: MAT/05 Mathematical Analysis

Curriculum vitae

Daniele Ritelli, Bologna, March 7th, 1960, graduated cum laude in (Pure) Mathematics at Bologna University on July, 17th, 1989. Thesis: Variational Methods for elliptic semilinear equations.

In 1992  he becomes Contract Professor at the Statistical Science Faculty of Bologna University where he gives a course about the Ordinary Differential Equations and their applications to Social and Economic contexts. Since June 1993 Lecturer at the Faculty of Economics of Bologna University.  Confirmed in March 1997,  his relevant and actual reference board is:  Dipartimento di Matematica per le Scienze Economiche e Sociali. In 2003 he becomes Associate Professor at the Faculty of Economics of Bologna University,  confirmed in 2007.  Since 2008 reviewer for American Mathematical Society.   Serves as "Referee" for several international journals: Journal of Number Theory, Applied Mathematical Modeling, Journal of Mathematical Analysis and Applications, Journal of Inequalities and Applications,  Journal of the Franklin Institute, Bulletin of Mathematical Analysis and Applications, Studia Scientiarum Mathematicarum Hungarica. 
Synopsis of his research activity.  Special function: gamma, beta, digamma and polygamma, hypergeometric functions and integrals, Appell functions, Lauricella functions, elliptic functions and integrals. Hyperelliptic integrals. Closed form evaluation of definite integrals, by means of special functions. Exact solutions of ordinary differential equations and boundary value problems. Qualitative analysis of ordinary differential equations, symmetries of ordinary differential equations. Phase plane analysis, limit cycles, stability, mathematical modeling thorugh nonlinear ordinary differential equations (e.g. population dynamics and epidemiology) dynamical economics and growth models, economic order quantity models for inventory optimization, minimum cost model in production planning or other management models.