Abstract
We prove some new formulas for the derivatives of the generalized Gegenbauer polynomials associated with the Lie algebra A 2.
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REFERENCES
H. Bateman and A. Erdély, eds., Higher Transcendental Functions (Based on notes left by H. Bateman), Vol. 2, McGraw-Hill, New York (1953).
F. Calogero, J. Math. Phys., 12, 419–436 (1971).
B. Sutherland, Phys. Rev. A, 4, 2019–2021 (1972).
M. A. Olshanetsky and A. M. Perelomov, Phys. Rep., 94, 313–404 (1983).
A. M. Perelomov, J. Phys. A, 31, L31–L37 (1998).
A. M. Perelomov, E. Ragoucy, and Ph. Zaugg, J. Phys. A, 31, L559–L565 (1998).
A. M. Perelomov, J. Phys. A, 32, 8563–8576 (1999).
A. M. Perelomov, “Quantum integrable systems and special functions,” in: Lie Theory and Its Applications in Physics-III (Proc. Clausthal Conference 1999, H.-D. Doebner, V. K. Dobrev, and J. Hilgert, eds.), World Scientific, Singapore (2000), pp. 139–154.
H. Jack, Proc. Roy. Soc. Edinburgh A, 69, 1–18 (1970).
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García Fuertes, W., Perelomov, A.M. Derivatives of Generalized Gegenbauer Polynomials. Theoretical and Mathematical Physics 131, 609–611 (2002). https://doi.org/10.1023/A:1015464413079
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DOI: https://doi.org/10.1023/A:1015464413079