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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=-9/4, b1`>=-11/2 > For fixed z and a1=-9/4, b1`=7/2





http://functions.wolfram.com/07.22.03.a9l8.01









  


  










Input Form





HypergeometricPFQ[{-(9/4)}, {7/2, -(5/4)}, z] == (1/(1404480 z^(5/2))) ((-467775 + 467775 E^(4 Sqrt[z]) - 935550 Sqrt[z] - 935550 E^(4 Sqrt[z]) Sqrt[z] - 540540 z + 540540 E^(4 Sqrt[z]) z + 166320 z^(3/2) + 166320 E^(4 Sqrt[z]) z^(3/2) - 60480 z^2 + 60480 E^(4 Sqrt[z]) z^2 + 26880 z^(5/2) + 26880 E^(4 Sqrt[z]) z^(5/2) - 15360 z^3 + 15360 E^(4 Sqrt[z]) z^3 + 12288 z^(7/2) + 12288 E^(4 Sqrt[z]) z^(7/2) - 16384 z^4 + 16384 E^(4 Sqrt[z]) z^4 + 65536 z^(9/2) + 65536 E^(4 Sqrt[z]) z^(9/2) + 65536 E^(2 Sqrt[z]) Sqrt[2 Pi] z^(19/4) Erf[Sqrt[2] z^(1/4)] - 65536 E^(2 Sqrt[z]) Sqrt[2 Pi] z^(19/4) 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