The orthogonality properties of q-polynomials

Integral Transforms and Special Functions

Volumn 4, Issue 4, 1996, Pages 343-354

  Dehesa, J S ^a   Nikiforov, A F ^b  

^a UNIVERSITY OF GRANADA   (Spain)

^b KELDYSH INSTITUTE OF APPLIED MATHEMATICS   (Russian Federation)

Author keywords

Classical orthogonal polynomials of a discrete variable; Hypergeometric type difference equation; Orthogonality properties; q polynomials

Indexed keywords

EID: 0030311593     PISSN: 10652469     EISSN: None     Source Type: Journal    
DOI: 10.1080/10652469608819120     Document Type: Article

References (6)

1. A.F. Nikiforov and V.B. Uvarov, Polynomial solutions of hypergeometric type difference equations and their classification, Integral Transforms and Special Functions, 1993, 1, No.3, pp.223-249.
2. A.F. Nikiforov, S.K. Suslov and V.B. Uvarov, Classical Orthogonal Polynomials of a Discrete Variable, Springer-Verlag, Springer Series in Computational Physics, Berlin, Heidelberg, New York, 1991.
3. A.F. Nikiforov, V.B. Uvarov, Special Functions of Mathematical Physics, Nauka, Moscow, 1984; Birkhäuser Verlag, Basel, Boston 1988.
4. A.F. Nikiforov and V.B. Uvarov, Classical Orthogonal Polynomials of a Discrete Variable on Nonuniform Lattices, Preprint No.17, Keldysh Institute Appl. Math., Moscow, 1983.
5. R. Koekoek and R.F. Swarttouw, The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogue, Report No 94-05, Delft University of Technology, Netherlands, 1994.
6. G. Gasper and M. Rahman, Basic hypergeometric series, Cambridge University Press, 1990.