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variants of this functions
HypergeometricPFQ




Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1,...,ap},{b1,...,bq},z] > Specific values > Specialized values > Case 1F4





http://functions.wolfram.com/07.31.03.0132.01









  


  








Input Form





HypergeometricPFQ[{1}, {n, Subscript[b, 2], Subscript[b, 3], Subscript[b, 4]}, z] == (n - 1)! ((-z)^(1 - n) Product[Pochhammer[1 - Subscript[b, k], n - 1], {k, 2, 4}] HypergeometricPFQ[{}, {Subscript[b, 2] - n + 1, Subscript[b, 3] - n + 1, Subscript[b, 4] - n + 1}, z] - Sum[Product[Pochhammer[1 - Subscript[b, j], k], {j, 2, 4}] (1/((-z)^k (n - k - 1)!)), {k, 1, n - 1}]) /; Element[n, Integers] && n > 0








Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2001-10-29