Shannon entropy of symmetric Pollaczek polynomials

A. Martinez-Finkelshtein, J. F. Sanchez-Lara

We discuss the asymptotic behavior (as $n\to \infty$) of the entropic integrals $$E_n=-{\int }_{-1}^1\log (p_n^2(x))p_n^2(x)w(x)dx,$$ and $$ F_n = -\int_{-1}^1 \log…