Nonnegative linearization of orthogonal polynomials
Szwarc, Ryszard
Colloquium Mathematicae, Tome 70 (1996), p. 309-316 / Harvested from The Polish Digital Mathematics Library
Publié le : 1996-01-01
EUDML-ID : urn:eudml:doc:210345
@article{bwmeta1.element.bwnjournal-article-cmv69i2p309bwm,
     author = {Ryszard Szwarc},
     title = {Nonnegative linearization of orthogonal polynomials},
     journal = {Colloquium Mathematicae},
     volume = {70},
     year = {1996},
     pages = {309-316},
     zbl = {0854.33016},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv69i2p309bwm}
}
Szwarc, Ryszard. Nonnegative linearization of orthogonal polynomials. Colloquium Mathematicae, Tome 70 (1996) pp. 309-316. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv69i2p309bwm/

[000] [1] R. Askey, Linearization of the product of orthogonal polynomials, in: Problems in Analysis (R. Gunning, ed.), Princeton University Press, Princeton, N.J., 1970, 223-228.

[001] [2] R. Askey and S. Wainger, A dual convolution structure for Jacobi polynomials, in: Proc. Conference on Orthogonal Expansions and their Continuous Analogues, D. Haimo (ed.), Southern Illinois University Press, Carbondale, 1967, 25-36. | Zbl 0174.36305

[002] [3] R. Askey and J. A. Wilson, Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials, Mem. Amer. Math. Soc. 54 (1985). | Zbl 0572.33012

[003] [4] T. Chihara, An Introduction to Orthogonal Polynomials, Math. Appl. 13, Gordon and Breach, New York, 1978. | Zbl 0389.33008

[004] [5] J. Dougall, A theorem of Sonine in Bessel functions, with two extensions to spherical harmonics, Proc. Edinburgh Math. Soc. 37 (1919), 33-47.

[005] [6] G. Gasper, Linearization of the product of Jacobi polynomials. I, II, Canad. J. Math. 22 (1970), 171-175, 582-593. | Zbl 0191.35002

[006] [7] H. Haddad, Chain sequence preserving linear transformations, Ann. Scuola Norm. Sup. Pisa (3) 24 (1970), 78-84. | Zbl 0191.35304

[007] [8] S. Igari and Y. Uno, Banach algebras related to the Jacobi polynomials, Tôhoku Math. J. 21 (1969), 668-673. | Zbl 0192.48402

[008] [9] L. J. Rogers, Second memoir on the expansion of certain infinite products, Proc. London Math. Soc. 25 (1894), 318-343.

[009] [10] A. L. Schwartz, l1-convolution algebras: representation and factorization, Z. Wahrsch. Verw. Gebiete 41 (1977), 161-176. | Zbl 0357.43004

[010] [11] G. Szegö, Orthogonal Polynomials, Colloq. Publ. 23, Amer. Math. Soc., Providence, R.I., 4th ed., 1975.

[011] [12] R. Szwarc, Orthogonal polynomials and a discrete boundary value problem, I, SIAM J. Math. Anal. 23 (1992), 959-964. | Zbl 0772.42013

[012] [13] R. Szwarc, Orthogonal polynomials and a discrete boundary value problem, II, ibid., 965-969. | Zbl 0772.42014