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№ 41, Moscow, 2015
Authors: Aptekarev A. I., Tulyakov D. N.
Asymptotics of Lp-norms of Laguerre polynomials and entropic moments of D-dimensional oscillator
The asymptotics of the weighted Lp-norms of the Laguerre polynomials is determined for n → ∞ and p > 0. The result is motivated by calculations the entropic moments of the quantum-mechanical probability density of the highly-excited (Rydberg) states of D-dimensional oscillator.
asymptotical analysis; orthogonal polynomials; information entropy
Publication language: english, pages: 15
Research direction:
Mathematical problems and theory of numerical methods
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