Add to ORKGThis paper provides an insight into different structures of a special polynomial sequence of binomial type in higher dimensions with values in a Clifford algebra. The elements of the special polynomial sequence are homogeneous hypercomplex differentiable (monogenic) functions of different degrees and their matrix representation allows to prove their recursive construction in analogy to the complex power functions. This property can somehow be considered as a compensation for the loss of multiplicativity caused by the non-commutativity of the underlying algebra.Fundação para a Ciência e a Tecnologia (FCT
The aim of this note is to study a set of paravector valued homogeneous monogenic polynomials that c...
The use of a non-commutative algebra in hypercomplex function theory requires a large variety of dif...
The construction of two di erent representations of special Appell polynomials in (n+1) real variabl...
This paper provides an insight into different structures of a special polynomial sequence of binomia...
AbstractThis paper describes an approach to generalized Bernoulli polynomials in higher dimensions b...
In this paper we combine the knowledge of different structures of a special Appell multidimensional ...
In this paper we combine the knowledge of different structures of a special Appell multidimensional ...
Abstract. Based on the representation of a set of canonical operators on the lattice hZn, which are ...
Considering the foundation of Quaternionic Analysis by R. Fueter and his collaborators in the beginn...
In the recent past one of the main concern of research in the field of Hypercomplex Function Theory ...
In this paper we consider a particularly important case of 3D monogenic polynomials that are isomorp...
Recently, the authors developed a matrix approach to multivariate polynomial sequences by using meth...
The usual Clifford algebras are defined by the structure relations e2j = −1 for each j = 1,..., n an...
Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Based on the representation of a set of...
The theory of orthogonal polynomials of one real or complex variable is well established as well as ...
The aim of this note is to study a set of paravector valued homogeneous monogenic polynomials that c...
The use of a non-commutative algebra in hypercomplex function theory requires a large variety of dif...
The construction of two di erent representations of special Appell polynomials in (n+1) real variabl...
This paper provides an insight into different structures of a special polynomial sequence of binomia...
AbstractThis paper describes an approach to generalized Bernoulli polynomials in higher dimensions b...
In this paper we combine the knowledge of different structures of a special Appell multidimensional ...
In this paper we combine the knowledge of different structures of a special Appell multidimensional ...
Abstract. Based on the representation of a set of canonical operators on the lattice hZn, which are ...
Considering the foundation of Quaternionic Analysis by R. Fueter and his collaborators in the beginn...
In the recent past one of the main concern of research in the field of Hypercomplex Function Theory ...
In this paper we consider a particularly important case of 3D monogenic polynomials that are isomorp...
Recently, the authors developed a matrix approach to multivariate polynomial sequences by using meth...
The usual Clifford algebras are defined by the structure relations e2j = −1 for each j = 1,..., n an...
Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Based on the representation of a set of...
The theory of orthogonal polynomials of one real or complex variable is well established as well as ...
The aim of this note is to study a set of paravector valued homogeneous monogenic polynomials that c...
The use of a non-commutative algebra in hypercomplex function theory requires a large variety of dif...
The construction of two di erent representations of special Appell polynomials in (n+1) real variabl...