Serdecznie zapraszamy na kolejne seminarium wydziałowe, które odbędzie się we wtorek, 17 czerwca 2025 r., o godz. 12:15 w sali A.4.1 w budynku C-19 Politechniki Wrocławskiej.

Podczas seminarium wykład pt. „Volterra-Prabhakar function and Applications” wygłosi prof. Živorad Tomovski z Uniwersytetu Palackiego w Ołomuńcu (Palacky University, Olomouc).

Abstract: We introduce the Volterra-Prabhakar function, which is involved in the definition of the distributed order Prabhakar function. This function is considered as a memory integral kernel of the generalized FokkerPlanck equation. Some integral representations (generalizations of the Ramanujan integrals), integral transforms, convolutional properties and complete monotonicity results will be presented. We will present also some PDFs associated to Volterra-Prabhakar function, as well as some statistical results like mean square displacement, higher moments, standard deviations, skewness and kurtosis. Applications will be given to examine the generalized Langevin equation approach to anomalous diffusion of a free particle driven by distributed order Volterra noises.