JournalszaaVol. 20, No. 3pp. 761–775

Orthogonality and Completeness of qq-Fourier Type Systems

  • Mourad E. H. Ismail

    University of Central Florida, Orlando, United States
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We establish orthogonality and completeness of the system of qq-exponential functions {Eq(;iωn)\mathcal E_q(\cdot; i\omega_n)} using orthogonality and dual orthogonality of a qq-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.

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

DOI 10.4171/ZAA/1044