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On the Finite Orthogonality of q-Pseudo-Jacobi Polynomials

1
Department of Mathematics, K. N. Toosi University of Technology, Tehran P.O. Box 16315-1618, Iran
2
School of Mathematical and Computational Science, University of Prince Edward Island, 550 University Avenue, Charlottetown, PE C1A 4P3, Canada
3
Institute of Mathematics, University of Kassel, Heinrich-Plett-Str. 40, 34132 Kassel, Germany
*
Author to whom correspondence should be addressed.
Mathematics 2020, 8(8), 1323; https://doi.org/10.3390/math8081323
Received: 20 July 2020 / Revised: 4 August 2020 / Accepted: 5 August 2020 / Published: 8 August 2020
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. View Full-Text
Keywords: q-pseudo Jacobi polynomials; Sturm–Liouville problems; q-difference equations; finite sequences of q-orthogonal polynomials q-pseudo Jacobi polynomials; Sturm–Liouville problems; q-difference equations; finite sequences of q-orthogonal polynomials
MDPI and ACS Style

Masjed-Jamei, M.; Saad, N.; Koepf, W.; Soleyman, F. On the Finite Orthogonality of q-Pseudo-Jacobi Polynomials. Mathematics 2020, 8, 1323.

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