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On the Finite Orthogonality of q-Pseudo-Jacobi Polynomials

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

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.

Sponsor
Gefördert durch den Publikationsfonds der Universität Kassel
Citation
In: Mathematics Volume 8 / Issue 8 (2020-08-08) , S. 1323; EISSN 2227-7390
Collections
@article{doi:10.17170/kobra-202009111788,
  author    ={Masjed-Jamei, Mohammad and Saad, Nasser and Koepf, Wolfram and Soleyman, Fatemeh},
  title    ={On the Finite Orthogonality of q-Pseudo-Jacobi Polynomials},
  keywords ={510 and Jacobi-Polynome and Sturm-Liouville-Problem and Differenzengleichung},
  copyright  ={http://creativecommons.org/licenses/by/4.0/},
  language ={en},
  journal  ={Mathematics},
  year   ={2020-08-08}
}