The Meijer G-function was introduced by the mathematician Cornelis Simon Meijer in 1936 as a very general function designed to include most of the previously known special functions as particular cases. It was not the only such attempt: the generalized hypergeometric function and the MacRobert E-function shared the same goal, but Meijer's G-function was broad enough to include those as special cases as well. It was originally defined through a series, though the now-standard definition, introduced in full generality by Arthur Erdelyi in 1953, uses a line integral in the complex plane. With this modern definition, most established special functions can be expressed in terms of the Meijer G-function, and the set of G-functions is closed under both differentiation and indefinite integration. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/
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1. Meijer G-Function (Wikipedia)
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In mathematics, the G-function was introduced by Cornelis Simon Meijer (1936) as a very general function intended to include most of the known special functions as particular cases.
Attributed To: Cornelis Simon Meijer, Lead sentence, attribution
introduced by Cornelis Simon Meijer (1936)
View the Source2. Meijer G-function (Wikipedia)
Wikipedia Meijer G-function lead paragraph (w-bbfill-psymath4-0926)Quote, Wikipedia Meijer G-function lead paragraph (w-bbfill-psymath4-0926)
introduced by Cornelis Simon Meijer (1936
View the Source Wolfram MathWorld: Meijer G-Function
Wolfram MathWorldIn Branch: Analysis, Subject classificationsQuote, In Branch: Analysis, Subject classifications
Calculus and Analysis Special Functions
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