Properties of Clifford-Legendre polynomials

DOI10.1007/s00006-021-01179-8zbMath1506.42012arXiv2012.05469OpenAlexW4210266988MaRDI QIDQ2077415

Hamed Baghal Ghaffari, Jeffrey A. Hogan, Joseph D. Lakey

Publication date: 21 February 2022

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.05469

zbMATH Keywords

Clifford analysisBonnet formulaClifford-Legendre polynomials

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Clifford algebras, spinors (15A66) Lamé, Mathieu, and spheroidal wave functions (33E10)

Uses Software

• Algorithm 840

Cites Work

• The generalized Clifford-Hermite continuous wavelet transform
• Duration and bandwidth limiting. Prolate functions, sampling, and applications.
• Interlacing of the zeros of Jacobi polynomials with different parameters
• Stieltjes interlacing of zeros of Jacobi polynomials from different sequences
• Algorithm 840: computation of grid points, quadrature weights and derivatives for spectral element methods using prolate spheroidal wave functions---prolate elements
• An introduction to frames and Riesz bases
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Properties of Clifford-Legendre polynomials