Szegő–Askey polynomials
(0.002 seconds)
21—30 of 267 matching pages
21: Bibliography I
…
►
On polynomials orthogonal with respect to certain Sobolev inner products.
J. Approx. Theory 65 (2), pp. 151–175.
…
►
-Hermite polynomials, biorthogonal rational functions, and -beta integrals.
Trans. Amer. Math. Soc. 346 (1), pp. 63–116.
…
►
Two families of orthogonal polynomials related to Jacobi polynomials.
Rocky Mountain J. Math. 21 (1), pp. 359–375.
…
►
Asymptotics of the Askey-Wilson and -Jacobi polynomials.
SIAM J. Math. Anal. 17 (6), pp. 1475–1482.
…
►
Classical and Quantum Orthogonal Polynomials in One Variable.
Encyclopedia of Mathematics and its Applications, Vol. 98, Cambridge University Press, Cambridge.
…
22: 18.35 Pollaczek Polynomials
§18.35 Pollaczek Polynomials
… ►There are 3 types of Pollaczek polynomials: …The three types of Pollaczek polynomials were successively introduced in Pollaczek (1949a, b, 1950), see also Erdélyi et al. (1953b, p.219) and, for type 1 and 2, Szegö (1950) and Askey (1982b). … ►For the monic polynomials … ►See Szegő (1975, Appendix, §§ 1–5), Askey (1982b), and Ismail (2009, §§ 5.4–5.5) for further results on type 2 Pollaczek polynomials. …23: 18.10 Integral Representations
24: 18.33 Polynomials Orthogonal on the Unit Circle
…
►
Szegő–Askey
… ►Askey (1982a) and Sri Ranga (2010) give more general results leading to what seem to be the right analogues of Jacobi polynomials on the unit circle. ►Askey
… ► See for a more general class Costa et al. (2012). … ►See Askey (1982a) and Pastro (1985) for special cases extending (18.33.13)–(18.33.14) and (18.33.15)–(18.33.16), respectively. …25: Bibliography K
…
►
Nonsymmetric Askey-Wilson polynomials as vector-valued polynomials.
Appl. Anal. 90 (3-4), pp. 731–746.
…
►
Two-variable Analogues of the Classical Orthogonal Polynomials.
In Theory and Application of Special Functions, R. A. Askey (Ed.),
pp. 435–495.
…
►
Askey-Wilson Polynomials for Root Systems of Type
.
In Hypergeometric Functions on Domains of Positivity, Jack
Polynomials, and Applications (Tampa, FL, 1991),
Contemp. Math., Vol. 138, pp. 189–204.
…
►
The structure relation for Askey-Wilson polynomials.
J. Comput. Appl. Math. 207 (2), pp. 214–226.
…
►
Askey-Wilson polynomial.
Scholarpedia 7 (7), pp. 7761.
…
26: 18.18 Sums
27: 18.27 -Hahn Class
…
►The
-hypergeometric OP’s comprise the -Hahn class (or -linear lattice class) OP’s and the Askey–Wilson class (or -quadratic lattice class) OP’s (§18.28).
Together they form the
-Askey scheme.
…
►
§18.27(ii) -Hahn Polynomials
… ►§18.27(iii) Big -Jacobi Polynomials
… ►Little -Laguerre polynomials
…28: 18.17 Integrals
…
►
Jacobi
… ►Ultraspherical
… ►Legendre
… ►The case is a limit case of an integral for Jacobi polynomials; see Askey and Razban (1972). … ►Hermite
…29: Bibliography Z
…
►
The Dilogarithm Function in Geometry and Number Theory.
In Number Theory and Related Topics (Bombay, 1988), R. Askey and others (Eds.),
Tata Inst. Fund. Res. Stud. Math., Vol. 12, pp. 231–249.
…
►
Doron Zeilberger’s Maple Packages and Programs
Department of Mathematics, Rutgers University, New Jersey.
…
►
Weighted derangements and the linearization coefficients of orthogonal Sheffer polynomials.
Proc. London Math. Soc. (3) 65 (1), pp. 1–22.
…
►
“Hidden symmetry” of Askey-Wilson polynomials.
Theoret. and Math. Phys. 89 (2), pp. 1146–1157.
►
On some classes of polynomials orthogonal on arcs of the unit circle connected with symmetric orthogonal polynomials on an interval.
J. Approx. Theory 94 (1), pp. 73–106.
…
30: 18.20 Hahn Class: Explicit Representations
…
►