An Introduction to Analytic Functions by John Sheridan Mac Nerney

Author:John Sheridan Mac Nerney
Language: eng
Format: epub
ISBN: 9783030420857
Publisher: Springer International Publishing

Exercise 6.4

1.If B is an infinite sequence in with bounded range, then the power-series about 0 is uniformly Cauchy on each closed and bounded subset of .

2.If f is an analytic function and there is a number M such that for all it is true that |f (k)(0)|≤ M, then there is only one entire function of which f is a subset.

Definition 6.7

The exponential function , denoted by “” is that entire function f such that f′ = f and f(0) = 1.

Exercise 6.5

1. is the limit on of the power-series

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