Title: Some Ultraspheroidal Monogenic Clifford Gegenbauer Jacobi Polynomials and Associated Wavelets,
Abstract: In the present paper, new classes of wavelet functions are presented in the
framework of Clifford analysis. Firstly, some classes of orthogonal polynomials
are provided based on 2-parameters weight functions. Such classes englobe the
well known ones of Jacobi and Gegenbauer polynomials when relaxing one of the
parameters. The discovered polynomial sets are next applied to introduce new
wavelet functions. Reconstruction formula as well as Fourier-Plancherel rules
have been proved.