Ramanujan's Master Theorem

Ramanujan's Master Theorem
Tewodros Amdeberhan, Olivier R. Espinosa, Ivan Gonzalez, Marshall Harrison, Victor H. Moll, Armin Straub — The Ramanujan Journal — Volume 29, Number 1, 2012, Pages 103-120


S. Ramanujan introduced a technique, known as Ramanujan's Master Theorem, which provides an explicit expression for the Mellin transform of a function in terms of the analytic continuation of its Taylor coefficients. The history and proof of this result are reviewed, and a variety of applications is presented. Finally, a multi-dimensional extension of Ramanujan's Master Theorem is discussed.


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    author = {Tewodros Amdeberhan and Olivier R. Espinosa and Ivan Gonzalez and Marshall Harrison and Victor H. Moll and Armin Straub},
    title = {Ramanujan's {M}aster {T}heorem},
    journal = {The Ramanujan Journal},
    year = {2012},
    volume = {29},
    number = {1},
    pages = {103--120},
    doi = {10.1007/s11139-011-9333-y},