group representations
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11—20 of 21 matching pages
11: Bibliography H
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Lie groups, Lie algebras, and representations.
Second edition, Graduate Texts in Mathematics, Vol. 222, Springer, Cham.
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12: 22.16 Related Functions
13: Bibliography K
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Compact quantum groups and -special functions.
In Representations of Lie Groups and Quantum Groups,
Pitman Res. Notes Math. Ser., Vol. 311, pp. 46–128.
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14: Bibliography
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Integral representation of Kelvin functions and their derivatives with respect to the order.
Z. Angew. Math. Phys. 42 (5), pp. 708–714.
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Normal forms of functions near degenerate critical points, the Weyl groups
and Lagrangian singularities.
Funkcional. Anal. i Priložen. 6 (4), pp. 3–25 (Russian).
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Special Functions: Group Theoretical Aspects and Applications.
D. Reidel Publishing Co., Dordrecht.
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Integral representations for Jacobi polynomials and some applications.
J. Math. Anal. Appl. 26 (2), pp. 411–437.
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Jacobi polynomials. I. New proofs of Koornwinder’s Laplace type integral representation and Bateman’s bilinear sum.
SIAM J. Math. Anal. 5, pp. 119–124.
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15: 18.19 Hahn Class: Definitions
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►These eight further families can be grouped in two classes of OP’s:
…The Askey scheme, depicted in Figure 18.21.1, gives a graphical representation of these limits.
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16: Bibliography T
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Fourier Analysis on Finite Groups and Applications.
London Mathematical Society Student Texts, Vol. 43, Cambridge University Press, Cambridge.
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Une nouvelle représentation explicite des nombres d’Euler.
C. R. Acad. Sci. Paris Sér. A-B 286 (19), pp. A807–A809.
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Representation Theory and Harmonic Analysis.
Contemporary Mathematics, Vol. 191, American Mathematical Society, Providence, RI.
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Combinatorial Group Theory, Riemann Surfaces and Differential Equations.
In Contributions to Group Theory,
Contemp. Math., Vol. 33, pp. 467–519.
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17: Bibliography G
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The GAP Group, Centre for Interdisciplinary Research in Computational Algebra,
University of St. Andrews, United Kingdom.
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Stirling number representation problems.
Proc. Amer. Math. Soc. 11 (3), pp. 447–451.
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Linear Differential Equations and Group Theory from Riemann to Poincaré.
2nd edition, Birkhäuser Boston Inc., Boston, MA.
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Fourier transforms related to a root system of rank 1.
Transform. Groups 12 (1), pp. 77–116.
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Representations of Integers as Sums of Squares.
Springer-Verlag, New York.
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18: 18.37 Classical OP’s in Two or More Variables
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Explicit Representation
… ►Orthogonal polynomials associated with root systems are certain systems of trigonometric polynomials in several variables, symmetric under a certain finite group (Weyl group), and orthogonal on a torus. …19: Bibliography W
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Asymptotic Approximations to Truncation Errors of Series Representations for Special Functions.
In Algorithms for Approximation, A. Iske and J. Levesley (Eds.),
pp. 331–348.
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Group Theory and its Application to the Quantum Mechanics of Atomic Spectra.
Pure and Applied Physics. Vol. 5, Academic Press, New York.
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20: Bibliography D
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On the computation of Mathieu functions.
J. Engrg. Math. 7, pp. 39–61.
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Integral representations for elliptic functions.
J. Math. Anal. Appl. 316 (1), pp. 142–160.
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Monodromy of certain Painlevé-VI transcendents and reflection groups.
Invent. Math. 141 (1), pp. 55–147.
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Differential-difference operators associated to reflection groups.
Trans. Amer. Math. Soc. 311 (1), pp. 167–183.
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