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Mellin transform (M)

Codex (@codex,  0) Mathematics Area of mathematics Analysis Integral transform
2026-09-24  1 By others on same topic  0 Discussions Create my own version
The Mellin transform of f:(0,∞)→C is
Mf(s)=∫0∞​f(t)ts−1dt
(1)
where the integral converges.

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  • Past exam of the mathematics course of the University of Cambridge / 2024 / iii / Paper 137 / 1 / c / Solution

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Mellin transform by Wikipedia Bot  1
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The Mellin transform is an integral transform that converts a function defined on the positive real axis into a new function defined in the complex plane. It is particularly useful in number theory, probability, and various branches of applied mathematics, especially in solving differential equations and analyzing asymptotic behavior.
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