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In mathematics, the E-function was introduced by Thomas Murray MacRobert to extend the generalized hypergeometric series pFq(·) to the case p > q + 1. The underlying objective was to define a very general function that includes as particular cases the majority of the special functions known until then. However, this function had no great impact on the literature as it can always be expressed in terms of the Meijer G-function, while the opposite is not true, so that the G-function is of a still more general nature. It is defined as:

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  • Funzione E di MacRobert (it)
  • MacRobert E function (en)
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  • In mathematics, the E-function was introduced by Thomas Murray MacRobert to extend the generalized hypergeometric series pFq(·) to the case p > q + 1. The underlying objective was to define a very general function that includes as particular cases the majority of the special functions known until then. However, this function had no great impact on the literature as it can always be expressed in terms of the Meijer G-function, while the opposite is not true, so that the G-function is of a still more general nature. It is defined as: (en)
  • La funzione E fu definita da Thomas Murray MacRobert nel 1938 per generalizzare la funzione ipergeometrica generalizzata al caso . Lo scopo finale era quello di introdurre una funzione talmente generale che potesse includere come caso particolare la maggioranza delle funzioni speciali note fino ad allora. Tuttavia tale funzione non ha avuto grande seguito in letteratura perché può essere sempre espressa in termini della funzione G di Meijer, mentre non è vero il contrario, quindi la funzione G ha validità ancora più generale. (it)
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  • Thomas Murray MacRobert (en)
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  • Thomas Murray (en)
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  • MacRobert (en)
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  • MacRobert's E-Function (en)
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  • MacRobertsE-Function (en)
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  • In mathematics, the E-function was introduced by Thomas Murray MacRobert to extend the generalized hypergeometric series pFq(·) to the case p > q + 1. The underlying objective was to define a very general function that includes as particular cases the majority of the special functions known until then. However, this function had no great impact on the literature as it can always be expressed in terms of the Meijer G-function, while the opposite is not true, so that the G-function is of a still more general nature. It is defined as: (en)
  • La funzione E fu definita da Thomas Murray MacRobert nel 1938 per generalizzare la funzione ipergeometrica generalizzata al caso . Lo scopo finale era quello di introdurre una funzione talmente generale che potesse includere come caso particolare la maggioranza delle funzioni speciali note fino ad allora. Tuttavia tale funzione non ha avuto grande seguito in letteratura perché può essere sempre espressa in termini della funzione G di Meijer, mentre non è vero il contrario, quindi la funzione G ha validità ancora più generale. (it)
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