On a generalized Appell system and monogenic power series
S Bock, K Gürlebeck - Mathematical Methods in the Applied …, 2010 - Wiley Online Library
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 …
authors. Main purpose of this paper is the description of another Appell system that is …
Approximation of monogenic functions by hypercomplex Ruscheweyh derivative bases
G Hassan, M Zayed - Complex Variables and Elliptic Equations, 2023 - Taylor & Francis
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 …
functions is defined. The representation in certain regions of such functions in terms of …
On the convergence of series of fractional Hasse derivative bases in Fréchet spaces
M Zayed, G Hassan… - Mathematical Methods in …, 2024 - Wiley Online Library
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 …
conformable derivative. The definition coincides with the classical version of the Hasse …
Gelfand–Tsetlin bases for spherical monogenics in dimension 3
S Bock, K Gürlebeck, R Lávička, V Souček - Revista Matemática …, 2012 - ems.press
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 …
short) and to use it for an explicit construction of orthogonal bases for the spaces of spherical …
[HTML][HTML] Equivalent base expansions in the space of Cliffordian functions
M Zayed, G Hassan - Axioms, 2023 - mdpi.com
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 …
essential aspects that resulted in the theory of one complex variable for higher-dimensional …
Basic sets of special monogenic polynomials in Fréchet modules
G Farghaly Hassan, L Aloui… - Journal of Complex …, 2017 - Wiley Online Library
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 …
Clifford analysis. The main aim of this account, which is based on functional analysis …
Approximation of functions by complex conformable derivative bases in Fréchet spaces
GF Hassan, EAB Abdel‐Salam… - … Methods in the Applied …, 2023 - Wiley Online Library
In the present paper, the representation, in different domains, of analytic functions by
complex conformable fractional derivative bases (CCFDB) and complex conformable …
complex conformable fractional derivative bases (CCFDB) and complex conformable …
On the relation between the growth and the Taylor coefficients of entire solutions to the higher-dimensional Cauchy–Riemann system in Rn+ 1
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 …
and the Taylor coefficients of the entire solutions to the higher-dimensional Cauchy …
[PDF][PDF] On the approximation of analytic functions by infinite series of fractional Ruscheweyh derivatives bases
M Zayed, G Hassan - Aims Mathematics, 2024 - aimspress.com
This paper presented a new Ruscheweyh fractional derivative of fractional order in the
complex conformable calculus sense. We applied the constructed complex conformable …
complex conformable calculus sense. We applied the constructed complex conformable …
[PDF][PDF] Expansions of generalized bases constructed via Hasse derivative operator in Clifford analysis
G Hassan, M Zayed - Aims Mathematics, 2023 - aimspress.com
The present paper investigates the approximation of special monogenic functions (SMFs) in
infinite series of hypercomplex Hasse derivative bases (HHDBs) in Fréchet modules (F …
infinite series of hypercomplex Hasse derivative bases (HHDBs) in Fréchet modules (F …