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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=-13/4, b1`>=-11/2 > For fixed z and a1=-13/4, b1`=-5/2





http://functions.wolfram.com/07.22.03.a8ho.01









  


  










Input Form





HypergeometricPFQ[{-(13/4)}, {-(5/2), 11/4}, z] == (1/(2516582400 z^(7/4))) ((7 (4 z^(1/4) (17453475 + 23271300 Sqrt[z] - 8760960 z + 19073280 z^(3/2) - 1989120 z^2 + 6297600 z^(5/2) - 327680 z^3 + 1114112 z^(7/2) - 65536 z^4 + 262144 z^(9/2) + E^(4 Sqrt[z]) (-17453475 + 23271300 Sqrt[z] + 8760960 z + 19073280 z^(3/2) + 1989120 z^2 + 6297600 z^(5/2) + 327680 z^3 + 1114112 z^(7/2) + 65536 z^4 + 262144 z^(9/2))) + E^(2 Sqrt[z]) Sqrt[2 Pi] (-17453475 + 27378000 z + 67392000 z^2 + 23961600 z^3 + 4259840 z^4 + 1048576 z^5) Erf[Sqrt[2] z^(1/4)] - E^(2 Sqrt[z]) Sqrt[2 Pi] (-17453475 + 27378000 z + 67392000 z^2 + 23961600 z^3 + 4259840 z^4 + 1048576 z^5) 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