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math.CA2007
Discrete entropies of orthogonal polynomials
A. I. Aptekarev, J. S. Dehesa, A. Martinez-Finkelshtein +1
Let be the -th orthonormal polynomial on the real line, whose zeros are , . Then for each , $$ \vec Ψ_j^2 = (Ψ_{1j}^2, ..., Ψ_{nj}^2)…
math.CA2006
Parameter-based Fisher's information of orthogonal polynomials
J. S. Dehesa, B. Olmos, R. J. Yanez
The Fisher information of the classical orthogonal polynomials with respect to a parameter is introduced, its interest justified and its explicit expression for the Jacobi, Laguerr…