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INFORMATION ENTROPY OF GEGENBAUER POLYNOMIALS
Difference Equations, Special Functions and Orthogonal Polynomials01 May 2007
Preview Abstract
We present a novel analytical approach to the evaluation of the information entropy of Gegenbauer polynomials of parameter λ. This method allows us to express the entropy in terms of finite sums in the case λ ∈ ℕ. Furthermore, we obtain closed formulas when λ = 1, 2, 3.