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I have written a book for Springer Nature’s Undergraduate Lecture Notes in Physics series. It comes out in March 2023 and is called Complex Integration: A Compendium of Smart and Little-Known Techniques for Evaluating Integrals and Sums . It is based on some problems in this website as well as Math.StackExchange, but with some new stuff as well. The idea behind the book is to present the material in a far more coherent manner than as it presently exists on the websites – to turn the scattershot complex inte

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Someone had some Bessel function integrals to evaluate. These ones were a bit tough because the integrands also had exponentials and square roots. There was lots of speculation about expressions involving hypergeometric functions. Nonsense. The integrals, while messy, are quite straightforward. As a bonus, I was able to derive an intermediate result using a non-trivial […]

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