Rate of approximation of $z{f}^{\prime }(z)$ by special sums associated with the zeros of the Bessel polynomials

Mikhail A. Komarov

Let ${\alpha }_{n1},\dots ,{\alpha }_{nn}$ be the zeros of the $n$th Bessel polynomial $y_n(z)$ and let $a_{nk}=1-{\alpha }_{nk}/2$, $b_{nk}=1+{\alpha }_{nk}/2$ $(k=1,\dots ,n)$. We propose the new formula \[z f'(z…