# Accelerated polynomial approximation of finite order entire functions by growth reduction

@article{Mller1997AcceleratedPA, title={Accelerated polynomial approximation of finite order entire functions by growth reduction}, author={J{\"u}rgen M{\"u}ller}, journal={Math. Comput.}, year={1997}, volume={66}, pages={743-761} }

Let f be an entire function of positive order and finite type. The subject of this note is the convergence acceleration of polynomial approximants of f by incorporating information about the growth of f(z) for z → ∞. We consider near polynomial approximation on a compact plane set K, which should be thought of as a circle or a real interval. Our aim is to find sequences (f n ) n of functions which are the product of a polynomial of degree < n and an easy computable second factor and such that…

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