Monthly Archives: August 2014

Fixed points of entire functions

This story has a long personal history. In my first attempted complex analysis exam I was asked if the entire function has any fixed points. I had no idea how to approach this question and I failed the exam. This … Continue reading

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Acceleration of alternating series

Let be a positive decreasing function such that . Then the alternating series converges. Depending on the rate at which decays it may however take many terms to get a decent approximation of the sum. Examples of such slowly converging … Continue reading

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