The definite integral $M(a)\coloneq \frac{4}{\pi}\int_{0}^{\pi /2}\frac{x^{2}dx}{x^{2}+\text{ln}^{2}(2e^{-a}\text{cos}x)}$ is related to the Laplace transform of the ...
This is a preview. Log in through your library . Journal Information The Mathematical Gazette is the original journal of the Mathematical Association and it is now over a century old. Its readership ...
The study of Hilbert transforms and oscillatory integrals has long been a focal point in harmonic analysis, embedding profound implications across pure and applied mathematics. The Hilbert transform, ...
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