5 papers
Expansion into Clifford Prolate Spheroidal Wave Functions
Hamed Baghal Ghaffari, Ahmed Souabni
In this paper, we investigate the properties of Clifford prolate spheroidal wave functions (CPSWFs) through their associated eigenvalues. We prove that the expansion coefficients i…
Constructing -Dimensional Monogenic Homogeneous Functions
Hamed Baghal Ghaffari, Jeffrey A. Hogan, Joseph D. Lakey
This paper is dedicated to the construction of multidimensional spherical monogenics. Firstly, we investigate the construction of monogenic functions in dimension by applying t…
Construction of Weighted Clifford Prolate Spheroidal wave Functions
Hamed Baghal Ghaffari, Swanhild Bernstein
We develop some properties and the Bonnet formula for Clifford Gegenbauer polynomials. Then after we define and construct weighted Clifford prolate spheroidal wave functions. We th…
Clifford Prolate Spheroidal wave Functions
Hamed Baghal Ghaffari, Jeffrey A. Hogan, Joseph D. Lakey
In the present paper, we introduce the multidimensional Clifford prolate spheroidal wave functions (CPSWFs) defined on the unit ball as eigenfunctions of a Clifford differential op…
Properties of Clifford Legendre Polynomials
Hamed Baghal Ghaffari, Jeffrey A. Hogan, Joseph D. Lakey
Clifford-Legendre and Clifford-Gegenbauer polynomials are eigenfunctions of certain differential operators acting on functions defined on -dimensional euclidean space ${\mathbb…