Sharp bound on the radial derivatives of the Zernike circle polynomials (disk polynomials)

A. J. E. M. Janssen

We sharpen the bound $n^{2k}$ on the maximum modulus of the $k^{\mathrm{th}}$ radial derivative of the Zernike circle polynomials (disk polynomials) of degree $n$ to $n^2(n^2-1^2)\cdot…