Some Extension of the bessel-type orthogonal polynomials

Integral Transforms and Special Functions

Volumn 7, Issue 3-4, 1998, Pages 191-214

  Arvesu J ^a   Alvarez Nodarse R ^a   Marcellan F ^a   Kwon, K H ^b  

^a UNIVERSIDAD CARLOS III DE MADRID   (Spain)

^b Korea Advanced Institute of Science and Technology (KAIST)   (South Korea)

Author keywords

Bessel polynomials; Hypergeometric function; Orthogonal polynomials; Perturbed orthogonal polynomials

Indexed keywords

EID: 0005824976     PISSN: 10652469     EISSN: 14768291     Source Type: Journal    
DOI: 10.1080/10652469808819199     Document Type: Article

References (14)

1. R. Álvarez-Nodarse and F. Marcellán, A generalization of the classical Laguerre polynomials, Rend. Circ. Mat. Palermo. Serie II, 44, (1995), 315-329.
2. R. Álvarez-Nodarse and F. Marcellán, A Generalization of the Classical Laguerre Polynomials: Asymptotic Properties and zeros, Appl. Analysis 62, (1996), 349-366.
3. R. Álvarez-Nodarse, J. Arvesú, and F. Marcellán, A Generalization of the Jacobi-Koornwinder Polynomials, (Submitted).
4. R. Álvarez-Nodarse and A. Zarzo, On some modifications of classical orthogonal polynomials: differential and spectral properties, (Submitted).
5. S. Belmehdi and F. Marcellán, Orthogonal polynomials associated to some modifications of a linear functional, Appl. Analysis. 46, (1992), 1-24.
6. E. Grosswald, Bessel polynomials, Lecture Notes in Math. 698, Springer-Verlag, Berlin, (1978).
7. E. Hendriksen, A Bessel orthogonal polynomial system, Proc. Kon. Nederl. Acad. Wetensch. 87, (1984) 407-414.
8. H.L. Krall and O. Frink, A new class of orthogonal polynomials: the Bessel polynomials, Trans. Amer. Math. Soc. 65, (1949), 100-115.
9. F. Marcellán, A. Branquinho, and J. Petronilho, Classical Orthogonal Polynomials: A Functional Approach. Acta Appl. Math., 34, (1994), 238-303.
10. F. Marcellán and P. Maroni, Sur l'adjonction d'une masse de Dirac à une forme régulière et semi-classique, Ann. Mat. Pura ed Appl., IV, CLXII, (1992), 1-22.
11. F. Marcellán and A. Ronveaux, On a class of polynomials orthogonal with respect to a discrete Sobolev inner product, Indag. Math. (N.S.) 1, (1990), 451-464.
12. F. Marcellán, T.E. Pérez, and M.A. Piñar, Regular Sobolev type orthogonal polynomials: The Bessel case, Rocky Mountain J. of Math. 25, (1995), 1431-1457.
13. F.W.J. Olver, Asymptotics and Special Functions, Academic Press Inc., New York, 1974.
14. G. Szegö, Orthogonal Polynomials, Amer. Math. Soc. Colloq. Publ., 23, Amer. Math. Soc., Providence, Rhode Island, 1975 (4th edition).