Ramanujan’s Master Theorem
نویسندگان
چکیده
S. Ramanujan introduced a technique, known as Ramanujan’s Master Theorem, which provides an analytic expression for the Mellin transform of a function. The main identity of this theorem involves the extrapolation of the sequence of coefficients of the integrand, defined originally as a function on N to C. The history and proof of this result are reviewed. Applications to the evaluation of a variety of definite integrals is presented.
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