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- Title
Some Old Orthogonal Polynomials Revisited and Associated Wavelets: Two-Parameters Clifford-Jacobi Polynomials and Associated Spheroidal Wavelets.
- Authors
Arfaoui, Sabrine; Ben Mabrouk, Anouar
- Abstract
In the present paper, new classes of wavelet functions are developed in the framework of Clifford analysis. Firstly, some classes of orthogonal polynomials are provided based on two-parameters weight functions generalizing the well known Jacobi and Gegenbauer classes when relaxing the parameters. The discovered polynomial sets are next applied to introduce new wavelet functions. Reconstruction formula as well as Fourier-Plancherel rule have been proved.
- Subjects
WAVELETS (Mathematics); FOURIER analysis; MATHEMATICAL transformations; DIFFERENTIAL equations; NUMERICAL analysis
- Publication
Acta Applicandae Mathematicae, 2018, Vol 155, Issue 1, p177
- ISSN
0167-8019
- Publication type
Article
- DOI
10.1007/s10440-017-0150-1