Wilson%20polynomials
(0.002 seconds)
10 matching pages
1: Bibliography K
…
►
Nonsymmetric Askey-Wilson polynomials as vector-valued polynomials.
Appl. Anal. 90 (3-4), pp. 731–746.
…
►
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.
►
Askey-Wilson polynomials as zonal spherical functions on the quantum group.
SIAM J. Math. Anal. 24 (3), pp. 795–813.
…
►
The structure relation for Askey-Wilson polynomials.
J. Comput. Appl. Math. 207 (2), pp. 214–226.
…
►
Askey-Wilson polynomial.
Scholarpedia 7 (7), pp. 7761.
…
2: 18.39 Applications in the Physical Sciences
…
►Derivations of (18.39.42) appear in Bethe and Salpeter (1957, pp. 12–20), and Pauling and Wilson (1985, Chapter V and Appendix VII), where the derivations are based on (18.39.36), and is also the notation of Piela (2014, §4.7), typifying the common use of the associated Coulomb–Laguerre polynomials in theoretical quantum chemistry.
…
3: Bibliography I
…
►
The real roots of Bernoulli polynomials.
Ann. Univ. Turku. Ser. A I 37, pp. 1–20.
…
►
Two families of associated Wilson polynomials.
Canad. J. Math. 42 (4), pp. 659–695.
…
►
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.
…
4: Bibliography P
…
►
Zonal Polynomials of Order Through
.
In Selected Tables in Mathematical Statistics, H. L. Harter and D. B. Owen (Eds.),
Vol. 2, pp. 199–388.
…
►
Orthogonal polynomials and some -beta integrals of Ramanujan.
J. Math. Anal. Appl. 112 (2), pp. 517–540.
…
►
A new basis for the representation of the rotation group. Lamé and Heun polynomials.
J. Mathematical Phys. 14 (8), pp. 1130–1139.
…
►
Introduction to quantum mechanics.
Dover Publications, Inc., New York.
…
►
Automatic computation of Bessel function integrals.
Comput. Phys. Comm. 25 (3), pp. 289–295.
…
5: Bibliography N
…
►
On an integral transform involving a class of Mathieu functions.
SIAM J. Math. Anal. 20 (6), pp. 1500–1513.
…
►
Reduction and evaluation of elliptic integrals.
Math. Comp. 20 (94), pp. 223–231.
…
►
Orthogonal polynomials.
Mem. Amer. Math. Soc. 18 (213), pp. v+185 pp..
…
►
A table of integrals of the error functions.
J. Res. Nat. Bur. Standards Sect B. 73B, pp. 1–20.
…
►
Askey-Wilson polynomials: an affine Hecke algebra approach.
In Laredo Lectures on Orthogonal Polynomials and Special
Functions,
Adv. Theory Spec. Funct. Orthogonal Polynomials, pp. 111–144.
…
6: Bibliography C
…
►
A note on Euler numbers and polynomials.
Nagoya Math. J. 7, pp. 35–43.
…
►
Asymptotic estimates for generalized Stirling numbers.
Analysis (Munich) 20 (1), pp. 1–13.
…
►
On the zeros of the Askey-Wilson polynomials, with applications to coding theory.
SIAM J. Math. Anal. 18 (1), pp. 191–207.
…
►
Validated computation of certain hypergeometric functions.
ACM Trans. Math. Software 38 (2), pp. Art. 11, 20.
…
►
Coulomb effects in the Klein-Gordon equation for pions.
Phys. Rev. C 20 (2), pp. 696–704.
…
7: Bibliography L
…
►
Algorithm 917: complex double-precision evaluation of the Wright function.
ACM Trans. Math. Software 38 (3), pp. Art. 20, 17.
…
►
An asymptotic estimate for the Bernoulli and Euler numbers.
Canad. Math. Bull. 20 (1), pp. 109–111.
…
►
A Lie theoretic interpretation and proof of the Rogers-Ramanujan identities.
Adv. in Math. 45 (1), pp. 21–72.
…
►
Approximation of orthogonal polynomials in terms of Hermite polynomials.
Methods Appl. Anal. 6 (2), pp. 131–146.
►
Hermite polynomials in asymptotic representations of generalized Bernoulli, Euler, Bessel, and Buchholz polynomials.
J. Math. Anal. Appl. 239 (2), pp. 457–477.
…
8: Bibliography S
…
►
Transformations of the Jacobian amplitude function and its calculation via the arithmetic-geometric mean.
SIAM J. Math. Anal. 20 (6), pp. 1514–1528.
…
►
Uniform asymptotic forms of modified Mathieu functions.
Quart. J. Mech. Appl. Math. 20 (3), pp. 365–380.
…
►
A Maple package for symmetric functions.
J. Symbolic Comput. 20 (5-6), pp. 755–768.
…
►
Numerical Methods Based on Sinc and Analytic Functions.
Springer Series in Computational Mathematics, Vol. 20, Springer-Verlag, New York.
…
►
A computer implementation of the Askey-Wilson scheme.
Technical Report 13
Vrije Universteit Amsterdam.
…
9: Bibliography G
…
►
An inequality of Turán type for Jacobi polynomials.
Proc. Amer. Math. Soc. 32, pp. 435–439.
…
►
Algorithm 726: ORTHPOL — a package of routines for generating orthogonal polynomials and Gauss-type quadrature rules.
ACM Trans. Math. Software 20 (1), pp. 21–62.
…
►
The non-symmetric Wilson polynomials are the Bannai-Ito polynomials.
Proc. Amer. Math. Soc. 144 (12), pp. 5217–5226.
…
►
Algorithm 939: computation of the Marcum Q-function.
ACM Trans. Math. Softw. 40 (3), pp. 20:1–20:21.
…
►
Mutual integrability, quadratic algebras, and dynamical symmetry.
Ann. Phys. 217 (1), pp. 1–20.
…
10: Bibliography D
…
►
Recherches analytiques sur la théorie des nombres premiers. Deuxième partie. Les fonctions de Dirichlet et les nombres premiers de la forme linéaire
.
Ann. Soc. Sci. Bruxelles 20, pp. 281–397 (French).
…
►
Orthogonal polynomials and the construction of piecewise polynomial smooth wavelets.
SIAM J. Math. Anal. 30 (5), pp. 1029–1056.
…
►
Complex zeros of cylinder functions.
Math. Comp. 20 (94), pp. 215–222.
…
►
Uniform asymptotic expansions for Whittaker’s confluent hypergeometric functions.
SIAM J. Math. Anal. 20 (3), pp. 744–760.
…
►
Coulomb wave functions with complex values of the variable and the parameters.
J. Math. Phys. 40 (12), pp. 6145–6166.