77 citations · 221 across the 16 of their papers we have counts for
16 papers
Non-Debye relaxations: The characteristic exponent in the excess wings model
K. Górska, A. Horzela, T. K. Pogány
The characteristic (Laplace or Lévy) exponents uniquely characterize infinitely divisible probability distributions. Although of purely mathematical origin they appear to be unique…
Hopf algebras: motivations and examples
G. H. E. Duchamp, P. Blasiak, A. Horzela +2
This paper provides motivation as well as a method of construction for Hopf algebras, starting from an associative algebra. The dualization technique involved relies heavily on the…
Heisenberg-Weyl algebra revisited: Combinatorics of words and paths
P. Blasiak, A. Horzela, G. H. E. Duchamp +2
The Heisenberg-Weyl algebra, which underlies virtually all physical representations of Quantum Theory, is considered from the combinatorial point of view. We provide a concrete mod…
Laguerre-type derivatives: Dobinski relations and combinatorial identities
K. A. Penson, P. Blasiak, A. Horzela +2
We consider properties of the operators D(r,M)=a^r(a^†a)^M (which we call generalized Laguerre-type derivatives), with r=1,2,..., M=0,1,..., where a and a^†are boson annihilation a…
Motzkin numbers, central trinomial coefficients and hybrid polynomials
P. Blasiak, G. Dattoli, A. Horzela +2
We show that the formalism of hybrid polynomials, interpolating between Hermite and Laguerre polynomials, is very useful in the study of Motzkin numbers and central trinomial coeff…
Graph model of the Heisenberg-Weyl algebra
P. Blasiak, A. Horzela, G. H. E. Duchamp +2
We consider an algebraic formulation of Quantum Theory and develop a combinatorial model of the Heisenberg-Weyl algebra structure. It is shown that by lifting this structure to the…