Add to ORKGThe theory of orthogonal polynomials of one real or complex variable is well established as well as its generalization for the multidimensional case. Hypercomplex function theory (or Clifford analysis) provides an alternative approach to deal with higher dimensions. In this context, we study systems of orthogonal polynomials of a hypercomplex variable with values in a Clifford algebra and prove some of their properties.This work was supported by Portuguese funds through the CIDMA - Center for Research and Development in Mathematics and Applications of the University of Aveiro, the Research Centre of Mathematics of the University of Minho and the Portuguese Foundation for Science and Technology (“FCT - Fundação para a Ciência e a Tecnologia”...
Recently the authors presented a matrix representation approach to real Appell polynomials essential...
The aim of this note is to study a set of paravector valued homogeneous monogenic polynomials that c...
Hypercomplex function theory generalizes the theory of holomorphic functions of one complex variable...
Recently, the authors developed a matrix approach to multivariate polynomial sequences by using meth...
Recently, systems of Clifford algebra-valued orthogonal polynomials have been studied from different...
AIP conference proceedings, vol. 936In Clifford Analysis several different methods have been develop...
In this paper we combine the knowledge of different structures of a special Appell multidimensional ...
AbstractIn this paper a new method for constructing Clifford algebra-valued orthogonal polynomials i...
A new method for constructing Clifford algebra-valued orthogonal polynomials in the open unit ball o...
This paper provides an insight into different structures of a special polynomial sequence of binomia...
In recent years classical polynomials of a real or complex variable and their generalizations to the...
In this paper we combine the knowledge of different structures of a special Appell multidimensional ...
The use of a non-commutative algebra in hypercomplex function theory requires a large variety of dif...
Hypercomplex function theory generalizes the theory of holomorphic functions of one complex variabl...
With the aim of derive a quasi-monomiality formulation in the context of discrete hypercomplex varia...
Recently the authors presented a matrix representation approach to real Appell polynomials essential...
The aim of this note is to study a set of paravector valued homogeneous monogenic polynomials that c...
Hypercomplex function theory generalizes the theory of holomorphic functions of one complex variable...
Recently, the authors developed a matrix approach to multivariate polynomial sequences by using meth...
Recently, systems of Clifford algebra-valued orthogonal polynomials have been studied from different...
AIP conference proceedings, vol. 936In Clifford Analysis several different methods have been develop...
In this paper we combine the knowledge of different structures of a special Appell multidimensional ...
AbstractIn this paper a new method for constructing Clifford algebra-valued orthogonal polynomials i...
A new method for constructing Clifford algebra-valued orthogonal polynomials in the open unit ball o...
This paper provides an insight into different structures of a special polynomial sequence of binomia...
In recent years classical polynomials of a real or complex variable and their generalizations to the...
In this paper we combine the knowledge of different structures of a special Appell multidimensional ...
The use of a non-commutative algebra in hypercomplex function theory requires a large variety of dif...
Hypercomplex function theory generalizes the theory of holomorphic functions of one complex variabl...
With the aim of derive a quasi-monomiality formulation in the context of discrete hypercomplex varia...
Recently the authors presented a matrix representation approach to real Appell polynomials essential...
The aim of this note is to study a set of paravector valued homogeneous monogenic polynomials that c...
Hypercomplex function theory generalizes the theory of holomorphic functions of one complex variable...