V S Buyarov et al 2000 J. Phys. A: Math. Gen. 33 6549 doi:10.1088/0305-4470/33/37/307
V S Buyarov1, P López-Artés2, A Martínez-Finkelshtein2,3 and W Van Assche4
Show affiliationsThe information entropy of Gegenbauer polynomials is relevant since this is related to the angular part of the information entropies of certain quantum mechanical systems such as the harmonic oscillator and the hydrogen atom in D dimensions. We give an effective method to compute the entropy for Gegenbauer polynomials with an integer parameter and obtain the first few terms in the asymptotic expansion as the degree of the polynomial tends to infinity.
Issue 37 (22 September 2000)
Received 6 March 2000, in final form 27 June 2000
V S Buyarov et al 2000 J. Phys. A: Math. Gen. 33 6549
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