On the Finite Orthogonality of q -Pseudo-Jacobi Polynomials

Mohammad Masjed-Jamei, Nasser Saad, Wolfram Koepf and Fatemeh Soleyman
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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

Mathematics, 2020, vol. 8, issue 8, 1-9

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.

Keywords: q -pseudo Jacobi polynomials; Sturm–Liouville problems; q -difference equations; finite sequences of q -orthogonal polynomials (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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