3 citations · 5 across the 17 of their papers we have counts for
5 papers · 1 filter
New Taylor and Laurent series of axially harmonic, Fueter regular and polyanalytic functions
Fabrizio Colombo, Antonino De Martino, Irene Sabadini
The Fueter-Sce mapping theorem stands as one of the most profound outcomes in complex and hypercomplex analysis, producing hypercomplex generalizations of holomorphic functions. In…
Generalized Appell polynomials and Fueter-Bargmann transforms in the polyanalytic setting
Antonino De Martino, Kamal Diki
Tnis paper deals with some special integral transforms in the setting of quaternionic valued slice polyanalytic functions. In particular, using the polyanalytic Fueter mappings it…
The -resolvent equation and Riesz projectors for the -functional calculus
Fabrizio Colombo, Antonino De Martino, Irene Sabadini
The Fueter-Sce-Qian mapping theorem is a two steps procedure to extend holomorphic functions of one complex variable to quaternionic or Clifford algebra-valued functions in the ker…
On a Runge Theorem over
Cinzia Bisi, Antonino de Martino, Joerg Winkelmann
In this paper we investigate a topological characterization of the Runge theorem in the Clifford algebra via the description of the homology groups of axially symme…
On Brolin's theorem over the quaternions
Cinzia Bisi, Antonino De Martino
In this paper we investigate the Brolin's theorem over , the skew field of quaternions. Moreover, considering a quaternionic polynomial with real coefficients, we f…