Heun polynomials
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11—20 of 24 matching pages
11: Errata
12: Vadim B. Kuznetsov
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►Kuznetsov published papers on special functions and orthogonal polynomials, the quantum scattering method, integrable discrete many-body systems, separation of variables, Bäcklund transformation techniques, and integrability in classical and quantum mechanics.
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13: Bibliography T
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Zonal Polynomials.
Institute of Mathematical Statistics Lecture Notes—Monograph
Series, 4, Institute of Mathematical Statistics, Hayward, CA.
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Laguerre polynomials: Asymptotics for large degree.
Technical report
Technical Report AM-R8610, CWI, Amsterdam, The Netherlands.
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Asymptotic estimates for Laguerre polynomials.
Z. Angew. Math. Phys. 41 (1), pp. 114–126.
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Bernoulli polynomials old and new: Generalizations and asymptotics.
CWI Quarterly 8 (1), pp. 47–66.
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Hyperspherical elliptic harmonics and their relation to the Heun equation.
Phys. Rev. A 63 (032510), pp. 1–8.
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14: Bibliography S
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Structure of avoided crossings for eigenvalues related to equations of Heun’s class.
J. Phys. A 30 (2), pp. 673–687.
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Some Boundary Value Problems Associated with the Heun Equation.
Ph.D. Thesis, London University.
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Non-linear integral equations for Heun functions.
Proc. Edinburgh Math. Soc. (2) 16, pp. 281–289.
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Elliptic Solitons and Heun’s Equation.
In The Kowalevski Property (Leeds, UK, 2000), V. B. Kuznetsov (Ed.),
CRM Proc. Lecture Notes, Vol. 32, pp. 287–306.
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Perturbations of Kerr-de Sitter black holes and Heun’s equations.
Progr. Theoret. Phys. 100 (3), pp. 491–505.
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15: Bibliography W
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Global asymptotics of the Meixner polynomials.
Asymptotic Analysis 75 (3-4), pp. 211–231.
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Asymptotics of orthogonal polynomials via recurrence relations.
Anal. Appl. (Singap.) 10 (2), pp. 215–235.
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Uniform asymptotics of the Stieltjes-Wigert polynomials via the Riemann-Hilbert approach.
J. Math. Pures Appl. (9) 85 (5), pp. 698–718.
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Hypergeometric Series, Recurrence Relations and Some New Orthogonal Polynomials.
Ph.D. Thesis, University of Wisconsin, Madison, WI.
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On the central connection problem for the double confluent Heun equation.
Math. Nachr. 195, pp. 267–276.
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16: Bibliography D
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Formes canoniques des équations confluentes de l’équation de Heun.
Ann. Soc. Sci. Bruxelles Sér. I 92 (1-2), pp. 53–78.
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Sur les équations confluentes de l’équation de Heun.
Ann. Soc. Sci. Bruxelles Sér. I 92 (3), pp. 151–189.
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On the real roots of Euler polynomials.
Monatsh. Math. 106 (2), pp. 115–138.
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On multiple zeros of Bernoulli polynomials.
Acta Arith. 134 (2), pp. 149–155.
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Orthogonal polynomials and the construction of piecewise polynomial smooth wavelets.
SIAM J. Math. Anal. 30 (5), pp. 1029–1056.
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17: Bibliography B
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The generating function of Jacobi polynomials.
J. London Math. Soc. 13, pp. 8–12.
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A generalisation of the Legendre polynomial.
Proc. London Math. Soc. (2) 3 (3), pp. 111–123.
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Normalization integrals of orthogonal Heun functions.
J. Math. Phys. 38 (7), pp. 3692–3699.
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Problem of two Coulomb centres at large intercentre separation: Asymptotic expansions from analytical solutions of the Heun equation.
J. Phys. A 30 (2), pp. 559–571.
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The double confluent Heun equation: Characteristic exponent and connection formulae.
Methods Appl. Anal. 1 (3), pp. 348–370.
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18: Bibliography M
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Symmetric Functions and Orthogonal Polynomials.
University Lecture Series, Vol. 12, American Mathematical Society, Providence, RI.
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Orthogonal polynomials associated with root systems.
Sém. Lothar. Combin. 45, pp. Art. B45a, 40 pp. (electronic).
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On reducing the Heun equation to the hypergeometric equation.
J. Differential Equations 213 (1), pp. 171–203.
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The 192 solutions of the Heun equation.
Math. Comp. 76 (258), pp. 811–843.
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Exceptional orthogonal polynomials.
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19: Bibliography L
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The two-point connection problem for differential equations of the Heun class.
Teoret. Mat. Fiz. 101 (3), pp. 360–368 (Russian).
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Asymptotic and numeric study of eigenvalues of the double confluent Heun equation.
J. Phys. A 31 (42), pp. 8521–8531.
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The central two-point connection problem for the Heun class of ODEs.
J. Phys. A 31 (18), pp. 4249–4261.
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Heun’s equation with nearby singularities.
Proc. Roy. Soc. London Ser. A 455, pp. 4347–4361.
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Approximation of orthogonal polynomials in terms of Hermite polynomials.
Methods Appl. Anal. 6 (2), pp. 131–146.
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20: Bibliography H
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Soft-core Coulomb potentials and Heun’s differential equation.
J. Math. Phys. 51 (2), pp. Art. ID 022107, 19 pages.
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Lamé polynomials of large order.
SIAM J. Math. Anal. 8 (5), pp. 800–842.
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Orthogonal Laurent polynomials.
Nederl. Akad. Wetensch. Indag. Math. 48 (1), pp. 17–36.
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Roots of the Euler polynomials.
Pacific J. Math. 64 (1), pp. 181–191.
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Bernoulli numbers and polynomials via residues.
J. Number Theory 76 (2), pp. 178–193.
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