A D Alhaidari 2002 J. Phys. A: Math. Gen. 35 9071 doi:10.1088/0305-4470/35/43/307
A D Alhaidari
Show affiliationsWe find solutions for a linear deformation of the three-term recursion relation. The orthogonal polynomials of the first and second kind associated with the deformed relation are obtained. The new density (weight) function is written in terms of the original one and the deformation parameters.
Issue 43 (1 November 2002)
Received 25 April 2002
Published 15 October 2002
A D Alhaidari 2002 J. Phys. A: Math. Gen. 35 9071
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S L Haan et al 2008 J. Phys. B: At. Mol. Opt. Phys. 41 211002
I L Maksimov and R G Mints 1981 J. Phys. D: Appl. Phys. 14 2279
M Escher et al 2005 J. Phys.: Condens. Matter 17 S1329
T Morinari 2006 J. Phys. B: At. Mol. Opt. Phys. 39 S37
H W Braden et al 2003 J. Phys. A: Math. Gen. 36 6979
Masaru Shibata and Koji Ury
2007 Class. Quantum Grav. 24 S125
Amalia K. Hicks et al. 2002 ApJ 580 763
Gioel Calabrese 2004 Class. Quantum Grav. 21 4025