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1: Bibliography K
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  • V. Kac and P. Cheung (2002) Quantum Calculus. Universitext, Springer-Verlag, New York.
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  • C. Kassel (1995) Quantum Groups. Graduate Texts in Mathematics, Vol. 155, Springer-Verlag, New York.
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  • T. H. Koornwinder (1984a) Jacobi Functions and Analysis on Noncompact Semisimple Lie Groups. In Special Functions: Group Theoretical Aspects and Applications, pp. 1–85.
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  • T. H. Koornwinder (1993) Askey-Wilson polynomials as zonal spherical functions on the SU ⁒ ( 2 ) quantum group. SIAM J. Math. Anal. 24 (3), pp. 795–813.
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  • T. H. Koornwinder (1994) Compact quantum groups and q -special functions. In Representations of Lie Groups and Quantum Groups, Pitman Res. Notes Math. Ser., Vol. 311, pp. 46–128.
  • 2: Bibliography V
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  • D. A. Varshalovich, A. N. Moskalev, and V. K. KhersonskiΔ­ (1988) Quantum Theory of Angular Momentum. World Scientific Publishing Co. Inc., Singapore.
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  • N. Ja. Vilenkin and A. U. Klimyk (1991) Representation of Lie Groups and Special Functions. Volume 1: Simplest Lie Groups, Special Functions and Integral Transforms. Mathematics and its Applications (Soviet Series), Vol. 72, Kluwer Academic Publishers Group, Dordrecht.
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  • N. Ja. Vilenkin and A. U. Klimyk (1992) Representation of Lie Groups and Special Functions. Volume 3: Classical and Quantum Groups and Special Functions. Mathematics and its Applications (Soviet Series), Vol. 75, Kluwer Academic Publishers Group, Dordrecht.
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  • N. Ja. Vilenkin and A. U. Klimyk (1993) Representation of Lie Groups and Special Functions. Volume 2: Class I Representations, Special Functions, and Integral Transforms. Mathematics and its Applications (Soviet Series), Vol. 74, Kluwer Academic Publishers Group, Dordrecht.
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  • N. Ja. Vilenkin (1968) Special Functions and the Theory of Group Representations. American Mathematical Society, Providence, RI.
  • 3: Bibliography G
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  • GAP (website) The GAP Group, Centre for Interdisciplinary Research in Computational Algebra, University of St. Andrews, United Kingdom.
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  • D. Gómez-Ullate and R. Milson (2014) Rational extensions of the quantum harmonic oscillator and exceptional Hermite polynomials. J. Phys. A 47 (1), pp. 015203, 26 pp..
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  • K. Gottfried and T. Yan (2004) Quantum mechanics: fundamentals. Second edition, Springer-Verlag, New York.
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  • J. J. Gray (2000) Linear Differential Equations and Group Theory from Riemann to Poincaré. 2nd edition, Birkhäuser Boston Inc., Boston, MA.
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  • W. Greiner, B. Müller, and J. Rafelski (1985) Quantum Electrodynamics of Strong Fields: With an Introduction into Modern Relativistic Quantum Mechanics. Texts and Monographs in Physics, Springer.
  • 4: Bibliography P
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  • J. Patera and P. Winternitz (1973) A new basis for the representation of the rotation group. Lamé and Heun polynomials. J. Mathematical Phys. 14 (8), pp. 1130–1139.
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  • L. Pauling and E. B. Wilson (1985) Introduction to quantum mechanics. Dover Publications, Inc., New York.
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  • L. Piela (2014) Ideas of Quantum Chemistry. second edition, Elsevier, Amsterdam-New York.
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  • R. Piessens (1982) Automatic computation of Bessel function integrals. Comput. Phys. Comm. 25 (3), pp. 289–295.
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  • G. Pólya and R. C. Read (1987) Combinatorial Enumeration of Groups, Graphs, and Chemical Compounds. Springer-Verlag, New York.
  • 5: Bibliography N
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  • D. Naylor (1989) On an integral transform involving a class of Mathieu functions. SIAM J. Math. Anal. 20 (6), pp. 1500–1513.
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  • J. Negro, L. M. Nieto, and O. Rosas-Ortiz (2000) Confluent hypergeometric equations and related solvable potentials in quantum mechanics. J. Math. Phys. 41 (12), pp. 7964–7996.
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  • W. J. Nellis and B. C. Carlson (1966) Reduction and evaluation of elliptic integrals. Math. Comp. 20 (94), pp. 223–231.
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  • E. W. Ng and M. Geller (1969) A table of integrals of the error functions. J. Res. Nat. Bur. Standards Sect B. 73B, pp. 1–20.
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  • M. Noumi and Y. Yamada (1998) Affine Weyl groups, discrete dynamical systems and Painlevé equations. Comm. Math. Phys. 199 (2), pp. 281–295.
  • 6: Bibliography S
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  • B. E. Sagan (2001) The Symmetric Group: Representations, Combinatorial Algorithms, and Symmetric Functions. 2nd edition, Graduate Texts in Mathematics, Vol. 203, Springer-Verlag, New York.
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  • P. Sarnak (1999) Quantum Chaos, Symmetry and Zeta Functions. Lecture I, Quantum Chaos. In Current Developments in Mathematics, 1997 (Cambridge, MA), R. Bott (Ed.), pp. 127–144.
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  • K. Schulten and R. G. Gordon (1975a) Exact recursive evaluation of 3 ⁒ j - and 6 ⁒ j -coefficients for quantum-mechanical coupling of angular momenta. J. Mathematical Phys. 16 (10), pp. 1961–1970.
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  • K. Schulten and R. G. Gordon (1975b) Semiclassical approximations to 3 ⁒ j - and 6 ⁒ j -coefficients for quantum-mechanical coupling of angular momenta. J. Mathematical Phys. 16 (10), pp. 1971–1988.
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  • M. J. Seaton (1983) Quantum defect theory. Rep. Prog. Phys. 46 (2), pp. 167–257.