#### Filter Results:

- Full text PDF available (8)

#### Publication Year

2009

2014

#### Publication Type

#### Co-author

#### Publication Venue

#### Key Phrases

Learn More

- H. R. Malonek, R. De Almeida
- Appl. Math. Lett.
- 2010

- Isabel Cação, M. I. Falcão, H. R. Malonek
- Mathematical and Computer Modelling
- 2011

- Carla Cruz, M. I. Falcão, H. R. Malonek
- ICCSA
- 2011

Information Keywords: Generalized Joukowski transformation, quasi-conformal mappings, hypercomplex differentiable functions. Abstract The classical Joukowski transformation plays an important role in different applications of conformal map-pings, in particular in the study of flows around the so-called Joukowski airfoils. In the 1980s H. Haruki and M.… (More)

- Carla Cruz, M. I. Falcão, H. R. Malonek
- ICCSA
- 2013

Information Keywords: Totally regular variables, Appell sequences, hypercomplex differen-tiable functions. Abstract The aim of our contribution is to call attention to the relationship between totally regular variables, introduced by R. Delanghe in 1970, and Appell sequences with respect to the hypercom-plex derivative. Under some natural nor-malization… (More)

- Isabel Cação, M. I. Falcão, H. R. Malonek
- ICCSA
- 2011

Information Keywords: Hypercomplex Laguerre derivative, Appell sequences, exponential operators, functions of hypercomplex variables. Abstract In hypercomplex context, we have recently constructed Appell sequences with respect to a generalized Laguerre derivative operator. This construction is based on the use of a basic set of monogenic polynomials which… (More)

- H. R. Malonek, Graça Tomaz
- Discrete Applied Mathematics
- 2009

- Isabel Cação, H. R. Malonek
- ICCSA
- 2011

Let Ω be a G-invariant convex domain in C N including 0, where G is a complex Coxeter group associated with reduced root system R ⊂ R N. We consider holomorphic functions f defined in Ω which are Dunkl polyharmonic, that is, Δ h n f 0 for some integer n. Here Δ h N j1 D 2 j is the complex Dunkl Laplacian, and D j is the complex Dunkl operator attached to… (More)

- Carla Cruz, M. I. Falcão, H. R. Malonek
- ICCSA
- 2014

In the recent past one of the main concern of research in the field of Hypercomplex Function Theory in Clifford Algebras was the development of a variety of new tools for a deeper understanding about its true elementary roots in the Function Theory of one Complex Variable. Therefore the study of the space of monogenic (Clifford holomorphic) functions by its… (More)

The application of Clifford Analysis methods in Combinatorics has some peculiarities due to the use of noncommutative algebras. But it seems natural to expect from here some new results different from those obtained by using approaches based on several complex variable. For instances, the fact that in Clifford Analysis the point-wise multiplication of… (More)