Ramanujan's master theorem

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In mathematics, Ramanujan's master theorem, named after Srinivasa Ramanujan, is a technique that provides an analytic expression for the Mellin transform of an analytic function. The result is stated as follows: If a complex-valued function f ( x ) {\textstyle f(x)} has an expansion of the form f ( x ) = ∑ k = 0 ∞ φ ( k ) k ! ( − x ) k {\displaystyle f(x)=\sum _{k=0}^{\infty }{\frac {\,\varphi (k)\,}{k!}}(-x)^{k}} where...

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