[图书][B] Quaternionic approximation

SG Gal, I Sabadini - 2019 - Springer
Complex analysis is very rich in approximation theory results. In this Preface we briefly list
some of them which are nowadays considered classical, with no pretense of completeness …

On the construction of generalized monogenic Bessel polynomials

M Abdalla, M Abul‐Ez, J Morais - Mathematical Methods in the …, 2018 - Wiley Online Library
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 …

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 …

[HTML][HTML] Laguerre derivative and monogenic Laguerre polynomials: an operational approach

I Cação, MI Falcão, HR Malonek - Mathematical and Computer Modelling, 2011 - Elsevier
Hypercomplex function theory generalizes the theory of holomorphic functions of one
complex variable by using Clifford Algebras and provides the fundamentals of Clifford …

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 …

Criteria in Nuclear Fréchet Spaces and Silva Spaces with Refinement of the Cannon‐Whittaker Theory

M Abul-Ez, M Zayed - Journal of Function Spaces, 2020 - Wiley Online Library
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 …

Combinatorial sums and binomial identities associated with the Beta-type polynomials

Y Şimşek - Hacettepe Journal of Mathematics and Statistics, 2018 - dergipark.org.tr
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 …

Generalized Hadamard product bases of special monogenic polynomials

M Zayed - Advances in Applied Clifford Algebras, 2020 - Springer
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 …

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 …

[HTML][HTML] On conformable fractional Legendre polynomials and their convergence properties with applications

M Abul-Ez, M Zayed, A Youssef, M De la Sen - Alexandria Engineering …, 2020 - Elsevier
The main objective of this paper is to give a wide study on the conformable fractional
Legendre polynomials (CFLPs). This study is assumed to be a generalization and …