An acceleration method for the power series of entire functions of order
Authors: B. Gabutti and J. N. Lyness
Journal: Math. Comp. 39 (1982), 587-597
MSC: Primary 65B10; Secondary 30B10
MathSciNet review: 669651
Abstract: When is given by a known power series expansion, it is possible to construct the power series expansion for . We define to be the value of p for which the expansion for converges most rapidly. When is an entire function of order 1, we show that is uniquely defined and may be characterized in terms of the set of singularities of an associated function . Specifically, it is the center of the smallest circle in the complex plane which contains all points .
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