222 citations · 1.6k across the 87 of their papers we have counts for
89 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…
A local Theory of Domains and its (Noncommutative) Symbolic Counterpart
V. C. Bui, G. H. E. Duchamp, V. Hoang Ngoc Minh +2
It is widely accepted nowadays that polyzetas are connected by polynomial relations. One way to obtain relations among polyzetas is to consider their generating series and the rela…
On the Sheffer-type polynomials related to the Mittag-Leffler functions: applications to fractional evolution equations
K. Górska, A. Horzela, K. A. Penson +1
We present two types of polynomials related to the Mittag-Leffler function namely the fractional Hermite polynomial and the Mittag-Leffler polynomial. The first modifies the Hermit…
Operational Methods in the Study of Sobolev-Jacobi Polynomials
Nicolas Behr, Giuseppe Dattoli, Gérard H. E. Duchamp +2
Inspired by ideas from umbral calculus and based on the two types of integrals occurring in the defining equations for the gamma and the reciprocal gamma functions, respectively, w…