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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=-7/4, b1`>=-11/2 > For fixed z and a1=-7/4, b1`=-3/2





http://functions.wolfram.com/07.22.03.a9va.01









  


  










Input Form





HypergeometricPFQ[{-(7/4)}, {-(3/2), 21/4}, z] == (1/(412316860416 z^(17/4))) ((221 (-4 z^(1/4) (18602008425 + 24802677900 Sqrt[z] + 13869591120 z + 3374965440 z^(3/2) + 65640960 z^2 + 54835200 z^(5/2) + 38707200 z^3 - 116293632 z^(7/2) + 9240576 z^4 - 33816576 z^(9/2) + 1048576 z^5 - 4194304 z^(11/2) + E^(4 Sqrt[z]) (18602008425 - 24802677900 Sqrt[z] + 13869591120 z - 3374965440 z^(3/2) + 65640960 z^2 - 54835200 z^(5/2) + 38707200 z^3 + 116293632 z^(7/2) + 9240576 z^4 + 33816576 z^(9/2) + 1048576 z^5 + 4194304 z^(11/2))) + E^(2 Sqrt[z]) Sqrt[2 Pi] (18602008425 - 5972551200 z + 1397088000 z^2 - 397393920 z^3 + 433520640 z^4 + 132120576 z^5 + 16777216 z^6) Erf[Sqrt[2] z^(1/4)] + E^(2 Sqrt[z]) Sqrt[2 Pi] (18602008425 - 5972551200 z + 1397088000 z^2 - 397393920 z^3 + 433520640 z^4 + 132120576 z^5 + 16777216 z^6) 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