In recent years, much attention has been paid to the role of classical special functions of a
real or complex variable in mathematical physics, especially in boundary value problems …

In this paper, the hypercomplex Ruscheweyh derivative operator for special monogenic
functions is defined. The representation in certain regions of such functions in terms of …

Along with the theory of bases in function spaces, the existence of a basis is not always
guaranteed. The class of power series spaces contains many classical function spaces, and …

In this paper, we first provide some functional equations of the generating functions for beta-
type polynomials. Using these equations, we derive various identities of the beta-type …

The notion of the generalized Hadamard product of bases in Clifford analysis is introduced.
Certain convergence properties of such generalized Hadamard product bases in terms of …

Intensive research efforts have been dedicated to the extension and development of
essential aspects that resulted in the theory of one complex variable for higher-dimensional …

In this paper, it is shown that certain classes of special monogenic functions cannot be
represented by the basic series in the whole space. New definitions for the order of basis of …

In the present paper the authors treat two different problems. They start by answering the
question posed in [5] concerning the structure of derivative bases, then investigate the …

This article is concerned with the study of the theory of basic sets in Fréchet modules in
Clifford analysis. The main aim of this account, which is based on functional analysis …

This paper shows a hypercomplex function theory emerging in the representation of
paravector‐valued monogenic functions over the (m+ 1)\left (m+1\right)‐dimensional …