Recently Appell systems of monogenic polynomials in ℝ3 were constructed by several
authors. Main purpose of this paper is the description of another Appell system that is …

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 …

This paper introduces a generalization of the Hasse derivative in the sense of the complex
conformable derivative. The definition coincides with the classical version of the Hasse …

The main aim of this paper is to recall the notion of Gelfand–Tsetlin bases (GT bases for
short) and to use it for an explicit construction of orthogonal bases for the spaces of spherical …

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 …

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 …

In the present paper, the representation, in different domains, of analytic functions by
complex conformable fractional derivative bases (CCFDB) and complex conformable …

In this paper we establish an explicit relation between the growth of the maximum modulus
and the Taylor coefficients of the entire solutions to the higher-dimensional Cauchy …

This paper presented a new Ruscheweyh fractional derivative of fractional order in the
complex conformable calculus sense. We applied the constructed complex conformable …

The present paper investigates the approximation of special monogenic functions (SMFs) in
infinite series of hypercomplex Hasse derivative bases (HHDBs) in Fréchet modules (F …