52 citations · 453 across the 42 of their papers we have counts for
42 papers
The Havriliak-Negami and Jurlewicz-Weron-Stanislavsky relaxation models revisited: memory functions based study
K. Górska, A. Horzela, K. A. Penson
We provide a review of theoretical results concerning the Havriliak-Negami (HN) and the Jurlewicz-Weron-Stanislavsky (JWS) dielectric relaxation models. We derive explicit forms of…
Hausdorff moment problem for combinatorial numbers of Brown and Tutte: exact solution
K. A. Penson, K. Górska, A. Horzela +1
We investigate the combinatorial sequences introduced by W. G. Brown (1964) and W. T. Tutte (1980) appearing in enumeration of convex polyhedra. Their formula is $$A(M, n…
Non-Debye relaxations: The ups and downs of the stretched exponential vs Mittag-Leffler's matchings
K. Górska, A. Horzela, K. A. Penson
Experimental data collected to provide us with information on the course of dielectric relaxation phenomena are got according to two distinct schemes: one can measure either the ti…
Non-Debye relaxations: smeared time evolution, memory effects, and the Laplace exponents
K. Górska, A. Horzela, T. K. Pogány
The non-Debye, \textit{i.e.,} non-exponential, behavior characterizes a large plethora of dielectric relaxation phenomena. Attempts to find their theoretical explanation are domina…
The Volterra type equations related to the non-Debye relaxation
K. Górska, A. Horzela
We investigate a possibility to describe the non-Debye relaxation processes using the Volterra-type equations with kernels given by the Prabhakar functions with the upper parameter…
Non-Debye relaxations: two types of memories and their Stieltjes character
K. Górska, A. Horzela
We show that spectral functions relevant for commonly used models of the non-Debye relaxation are related to the Stieltjes functions supported on the positive semiaxis. Using only…