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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=5/4, b1`>=-11/2 > For fixed z and a1=5/4, b1`=11/2





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









  


  










Input Form





HypergeometricPFQ[{5/4}, {11/2, 13/4}, z] == (1/(13312 z^(9/2))) ((945 (-525 + 525 E^(4 Sqrt[z]) - 1050 Sqrt[z] - 1050 E^(4 Sqrt[z]) Sqrt[z] - 660 z + 660 E^(4 Sqrt[z]) z + 80 z^(3/2) + 80 E^(4 Sqrt[z]) z^(3/2) - 272 z^2 + 272 E^(4 Sqrt[z]) z^2 + 16 z^(5/2) + 16 E^(4 Sqrt[z]) z^(5/2) - 64 z^3 + 64 E^(4 Sqrt[z]) z^3 - 4 E^(2 Sqrt[z]) Sqrt[2 Pi] z^(9/4) (65 + 16 z) Erf[Sqrt[2] z^(1/4)] - 4 E^(2 Sqrt[z]) Sqrt[2 Pi] z^(9/4) (65 + 16 z) 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