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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=-17/4, b1`>=-11/2 > For fixed z and a1=-17/4, b1`=9/2





http://functions.wolfram.com/07.22.03.a7v4.01









  


  










Input Form





HypergeometricPFQ[{-(17/4)}, {9/2, 15/4}, z] == (4 (-6159089664000 - 12318179328000 Sqrt[z] - 461565201825 z - 43318441939500 z^(3/2) + 1455947045280 z^2 - 55747219731840 z^(5/2) - 28267387948800 z^3 + 126634110704640 z^(7/2) + 5264349511680 z^4 - 21772398821376 z^(9/2) - 251011203072 z^5 + 1015429201920 z^(11/2) + 3852468224 z^6 - 15460204544 z^(13/2) - 16777216 z^7 + 67108864 z^(15/2) + E^(4 Sqrt[z]) (6159089664000 - 12318179328000 Sqrt[z] + 461565201825 z - 43318441939500 z^(3/2) - 1455947045280 z^2 - 55747219731840 z^(5/2) + 28267387948800 z^3 + 126634110704640 z^(7/2) - 5264349511680 z^4 - 21772398821376 z^(9/2) + 251011203072 z^5 + 1015429201920 z^(11/2) - 3852468224 z^6 - 15460204544 z^(13/2) + 16777216 z^7 + 67108864 z^(15/2))) + E^(2 Sqrt[z]) Sqrt[2 Pi] z^(3/4) (-88229325959775 - 201667030765200 z - 293333862931200 z^2 + 521482422988800 z^3 - 87828618608640 z^4 + 4073211297792 z^5 - 61891149824 z^6 + 268435456 z^7) Erf[Sqrt[2] z^(1/4)] + E^(2 Sqrt[z]) Sqrt[2 Pi] z^(3/4) (88229325959775 + 201667030765200 z + 293333862931200 z^2 - 521482422988800 z^3 + 87828618608640 z^4 - 4073211297792 z^5 + 61891149824 z^6 - 268435456 z^7) Erfi[Sqrt[2] z^(1/4)])/E^(2 Sqrt[z])/(2209170786877440 z^(7/2))










Standard Form





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MathML Form







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





2007-05-02