30 citations · 63 across the 8 of their papers we have counts for
8 papers
Arithmetic triangular structures in the transfer-matrix of finite Kronig-Penney models
Lidia Aceto, Pietro Antonio Grassi, Helmuth Robert Malonek
This work provides a complete analytical characterization of the transfer- matrix structure associated with the finite Kronig-Penney model consisting of one-dimensional arrays of D…
Clifford-Appell formulation of a Dirac-type Kronig-Penney model in condensed matter physics
L. Aceto, P. A. Grassi, H. Malonek
We investigate the stationary Dirac equation associated with a generalized Kronig-Penney model in (N+1)-dimensional Clifford analysis. Away from the interaction sites, the free Dir…
On generalized Vietoris' number sequences - origins, properties and applications
I. Cação, M. I. Falcão, H. R. Malonek
Ruscheweyh and Salinas showed in 2004 the relationship of a celebrated theorem of Vietoris (1958) about the positivity of certain sine and cosine sums with the function theoretic c…
Matrix approach to hypercomplex Appell polynomials
Lidia Aceto, Helmuth Robert Malonek, Graça Tomaz
Recently the authors presented a matrix representation approach to real Appell polynomials essentially determined by a nilpotent matrix with natural number entries. It allows to co…
A unified matrix approach to the representation of Appell polynomials
Lidia Aceto, Helmuth R. Malonek, Graça Tomaz
In this paper we propose a unified approach to matrix representations of different types of Appell polynomials. This approach is based on the creation matrix - a special matrix whi…
Complex Dunkl operators
Guangbin Ren, Helmuth R. Malonek
The real theory of the Dunkl operators has been developed very extensively, while there still lacks the corresponding complex theory. In this paper we introduce the complex Dunkl o…