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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=-19/4, b1`>=-11/2 > For fixed z and a1=-19/4, b1`=1/2





http://functions.wolfram.com/07.22.03.9402.01









  


  










Input Form





HypergeometricPFQ[{-(19/4)}, {1/2, -(7/4)}, z] == (1/417690) ((208845 + 208845 E^(4 Sqrt[z]) - 240660 Sqrt[z] + 240660 E^(4 Sqrt[z]) Sqrt[z] + 234720 z + 234720 E^(4 Sqrt[z]) z - 263040 z^(3/2) + 263040 E^(4 Sqrt[z]) z^(3/2) + 433920 z^2 + 433920 E^(4 Sqrt[z]) z^2 - 1956864 z^(5/2) + 1956864 E^(4 Sqrt[z]) z^(5/2) - 80768 z^3 - 80768 E^(4 Sqrt[z]) z^3 + 329216 z^(7/2) - 329216 E^(4 Sqrt[z]) z^(7/2) + 2048 z^4 + 2048 E^(4 Sqrt[z]) z^4 - 8192 z^(9/2) + 8192 E^(4 Sqrt[z]) z^(9/2) - 32 E^(2 Sqrt[z]) Sqrt[2 Pi] z^(11/4) (62985 - 10336 z + 256 z^2) Erf[Sqrt[2] z^(1/4)] - 32 E^(2 Sqrt[z]) Sqrt[2 Pi] z^(11/4) (62985 - 10336 z + 256 z^2) 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