Orthogonality and Completeness of -Fourier Type Systems

  • Mourad E. H. Ismail

    University of Central Florida, Orlando, United States


We establish orthogonality and completeness of the system of -exponential functions {} using orthogonality and dual orthogonality of a -analogue of Lommel polynomials. We also set up a very general procedure by which one can produce similar orthogonal systems using bilinear generating functions formed by products of two complete orthogonal function systems.

Cite this article

Mourad E. H. Ismail, Orthogonality and Completeness of -Fourier Type Systems. Z. Anal. Anwend. 20 (2001), no. 3, pp. 761–775

DOI 10.4171/ZAA/1044