Weak convergence of the currents [ddcut]qand asymptotics of the order function for holomorphic mappings of regular growth

The Rate of Convergence of Fourier Coeff

The Rate of Convergence of Fourier Coefficients for Entire Functions of Infinite Order with Application to the Weideman-Cloot Sinh-Mapping for Pseudospectral Computations on an Infinite Interval

✍ John P. Boyd 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 650 KB

We analytically compute the asymptotic Fourier coefficients for several classes of functions to answer two questions. The numerical question is to explain the success of the Weideman-Cloot algorithm for solving differential equations on an infinite interval. Their method combines Fourier expansion w