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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=-23/4, b1`>=-11/2 > For fixed z and a1=-23/4, b1`=-1/2





http://functions.wolfram.com/07.22.03.8194.01









  


  










Input Form





HypergeometricPFQ[{-(23/4)}, {-(1/2), -(15/4)}, z] == (1/68918850) ((34459425 + 34459425 E^(4 Sqrt[z]) + 68918850 Sqrt[z] - 68918850 E^(4 Sqrt[z]) Sqrt[z] - 36756720 z - 36756720 E^(4 Sqrt[z]) z + 16299360 z^(3/2) - 16299360 E^(4 Sqrt[z]) z^(3/2) - 7499520 z^2 - 7499520 E^(4 Sqrt[z]) z^2 + 3924480 z^(5/2) - 3924480 E^(4 Sqrt[z]) z^(5/2) - 2519040 z^3 - 2519040 E^(4 Sqrt[z]) z^3 + 2187264 z^(7/2) - 2187264 E^(4 Sqrt[z]) z^(7/2) - 3080192 z^4 - 3080192 E^(4 Sqrt[z]) z^4 + 12713984 z^(9/2) - 12713984 E^(4 Sqrt[z]) z^(9/2) + 131072 z^5 + 131072 E^(4 Sqrt[z]) z^5 - 524288 z^(11/2) + 524288 E^(4 Sqrt[z]) z^(11/2) - 32768 E^(2 Sqrt[z]) Sqrt[2 Pi] z^(19/4) (-391 + 16 z) Erf[Sqrt[2] z^(1/4)] - 32768 E^(2 Sqrt[z]) Sqrt[2 Pi] z^(19/4) (-391 + 16 z) Erfi[Sqrt[2] z^(1/4)])/E^(2 Sqrt[z]))










Standard Form





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MathML Form







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Date Added to functions.wolfram.com (modification date)





2007-05-02