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On the Finite Orthogonality of q -Pseudo-Jacobi Polynomials

Author

Listed:
  • Mohammad Masjed-Jamei

    (Department of Mathematics, K. N. Toosi University of Technology, Tehran P.O. Box 16315-1618, Iran)

  • Nasser Saad

    (School of Mathematical and Computational Science, University of Prince Edward Island, 550 University Avenue, Charlottetown, PE C1A 4P3, Canada)

  • Wolfram Koepf

    (Institute of Mathematics, University of Kassel, Heinrich-Plett-Str. 40, 34132 Kassel, Germany)

  • Fatemeh Soleyman

    (Department of Mathematics, K. N. Toosi University of Technology, Tehran P.O. Box 16315-1618, Iran)

Abstract

Using the Sturm–Liouville theory in q -difference spaces, we prove the finite orthogonality of q -Pseudo Jacobi polynomials. Their norm square values are then explicitly computed by means of the Favard theorem.

Suggested Citation

  • Mohammad Masjed-Jamei & Nasser Saad & Wolfram Koepf & Fatemeh Soleyman, 2020. "On the Finite Orthogonality of q -Pseudo-Jacobi Polynomials," Mathematics, MDPI, vol. 8(8), pages 1-9, August.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:8:p:1323-:d:396469
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