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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`=-3/2





http://functions.wolfram.com/07.22.03.8142.01









  


  










Input Form





HypergeometricPFQ[{-(23/4)}, {-(3/2), -(19/4)}, z] == (1/231080850) ((115540425 + 115540425 E^(4 Sqrt[z]) + 231080850 Sqrt[z] - 231080850 E^(4 Sqrt[z]) Sqrt[z] + 137837700 z + 137837700 E^(4 Sqrt[z]) z - 32432400 z^(3/2) + 32432400 E^(4 Sqrt[z]) z^(3/2) + 8648640 z^2 + 8648640 E^(4 Sqrt[z]) z^2 - 2661120 z^(5/2) + 2661120 E^(4 Sqrt[z]) z^(5/2) + 967680 z^3 + 967680 E^(4 Sqrt[z]) z^3 - 430080 z^(7/2) + 430080 E^(4 Sqrt[z]) z^(7/2) + 245760 z^4 + 245760 E^(4 Sqrt[z]) z^4 - 196608 z^(9/2) + 196608 E^(4 Sqrt[z]) z^(9/2) + 262144 z^5 + 262144 E^(4 Sqrt[z]) z^5 - 1048576 z^(11/2) + 1048576 E^(4 Sqrt[z]) z^(11/2) - 1048576 E^(2 Sqrt[z]) Sqrt[2 Pi] z^(23/4) Erf[Sqrt[2] z^(1/4)] - 1048576 E^(2 Sqrt[z]) Sqrt[2 Pi] z^(23/4) 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