Duality for classical orthogonal polynomials

Journal of Computational and Applied Mathematics

Volumn 178, Issue 1-2 SPEC. ISS., 2005, Pages 37-43

  Askey, Richard ^a  

^a UNIVERSITY OF WISCONSIN MADISON   (United States)

Author keywords

Duality; Orthogonal polynomials

Indexed keywords

DIFFERENTIAL EQUATIONS; FUNCTIONS; INTEGRAL EQUATIONS; INTEGRATION; MATHEMATICAL TRANSFORMATIONS; POLES AND ZEROS;

CLASSICAL ORTHOGONAL POLYNOMIALS; DUALITY; JACOBI POLYNOMIALS; LAGUERRE POLYNOMIALS; MEIXNER POLYNOMIALS;

POLYNOMIALS;

EID: 14844357952     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2004.05.021     Document Type: Article

References (5)

1. R. Askey Jacobi polynomial expansions with positive coefficients and imbeddings of projection spaces Bull. Amer. Math. Soc. 74 1968 301-304
2. R. Askey J. Fitch Integral representations for Jacobi polynomials and some applications J. Math. Anal. Appl. 26 1969 411-437
3. W.N. Bailey The generating function of Jacobi polynomials J. London Math. Soc. 13 1938 8-12
4. R. Koekoek, R.F. Swarttouw, The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogue, Reports of the Faculty of Technical Mathematics and Informatics, No. 98-17, Delft Univ. of Technology, Delft, 1998. Also http://aw.twi.tudelft.nl/~koekoek/ askey/.
5. G. Szegö, Orthogonal Polynomials, fourth ed., Amer. Math. Soc. Colloquium Publ. 23, American Mathematical Society, Providence, RI, 1975.