page_title: Ramanujan's master theorem
hierarchical_section_title: Ramanujan's master theorem
caption_attribution_description: English: This a page from mathematician Srinavasa Ramanujan's notebooks written down by him between 1903-1910 to show his benefactors to convince them about his abilities as a mathematician.
context_page_description: In mathematics, Ramanujan's master theorem 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 has an expansion of the form
  then the Mellin transform of is given by
  where is the gamma function.
  It was widely used by Ramanujan to calculate definite integrals and infinite series.
  Higher-dimensional versions of this theorem also appear in quantum physics.
  A similar result was also obtained by Glaisher.
context_section_description: 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  has an expansion of the form
  then the Mellin transform of  is given by
  where  is the gamma function.
  It was widely used by Ramanujan to calculate definite integrals and infinite series.
  Higher-dimensional versions of this theorem also appear in quantum physics (through Feynman diagrams).
  A similar result was also obtained by Glaisher.
caption: Page from Ramanujan's notebook stating his Master theorem.
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