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variants of this functions
HypergeometricPFQ






Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1},{b1,b2},z] > Specific values > For rational parameters with larger denominators and fixed z > For fixed z and a1=11/4, b1`>=-11/2 > For fixed z and a1=11/4, b1`=-11/2





http://functions.wolfram.com/07.22.03.adpq.01









  


  










Input Form





HypergeometricPFQ[{11/4}, {-(11/2), 15/4}, z] == (1/(495452160 z^(11/4))) ((4 z^(1/4) (-104928949125 - 139905265500 Sqrt[z] - 111924212400 z - 63956692800 z^(3/2) - 28425196800 z^2 - 10274503680 z^(5/2) - 3056578560 z^3 - 732512256 z^(7/2) - 133496832 z^4 - 16515072 z^(9/2) - 1048576 z^5 + E^(4 Sqrt[z]) (104928949125 - 139905265500 Sqrt[z] + 111924212400 z - 63956692800 z^(3/2) + 28425196800 z^2 - 10274503680 z^(5/2) + 3056578560 z^3 - 732512256 z^(7/2) + 133496832 z^4 - 16515072 z^(9/2) + 1048576 z^5)) + 104928949125 E^(2 Sqrt[z]) Sqrt[2 Pi] Erf[Sqrt[2] z^(1/4)] - 104928949125 E^(2 Sqrt[z]) Sqrt[2 Pi] Erfi[Sqrt[2] z^(1/4)])/ E^(2 Sqrt[z]))










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)





2007-05-02