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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`=11/2





http://functions.wolfram.com/07.22.03.a7vs.01









  


  










Input Form





HypergeometricPFQ[{-(17/4)}, {11/2, -(9/4)}, z] == (1/(2163011558400 z^(9/2))) ((-42691609335375 + 42691609335375 E^(4 Sqrt[z]) - 85383218670750 Sqrt[z] - 85383218670750 E^(4 Sqrt[z]) Sqrt[z] - 69571511509500 z + 69571511509500 E^(4 Sqrt[z]) z - 25298731458000 z^(3/2) - 25298731458000 E^(4 Sqrt[z]) z^(3/2) - 1099944846000 z^2 + 1099944846000 E^(4 Sqrt[z]) z^2 + 1173274502400 z^(5/2) + 1173274502400 E^(4 Sqrt[z]) z^(5/2) - 432259027200 z^3 + 432259027200 E^(4 Sqrt[z]) z^3 + 141145804800 z^(7/2) + 141145804800 E^(4 Sqrt[z]) z^(7/2) - 47048601600 z^4 + 47048601600 E^(4 Sqrt[z]) z^4 + 17031168000 z^(9/2) + 17031168000 E^(4 Sqrt[z]) z^(9/2) - 6998261760 z^5 + 6998261760 E^(4 Sqrt[z]) z^5 + 3413114880 z^(11/2) + 3413114880 E^(4 Sqrt[z]) z^(11/2) - 2091909120 z^6 + 2091909120 E^(4 Sqrt[z]) z^6 + 1761607680 z^(13/2) + 1761607680 E^(4 Sqrt[z]) z^(13/2) - 2432696320 z^7 + 2432696320 E^(4 Sqrt[z]) z^7 + 9932111872 z^(15/2) + 9932111872 E^(4 Sqrt[z]) z^(15/2) + 67108864 z^8 - 67108864 E^(4 Sqrt[z]) z^8 - 268435456 z^(17/2) - 268435456 E^(4 Sqrt[z]) z^(17/2) - 16777216 E^(2 Sqrt[z]) Sqrt[2 Pi] z^(31/4) (-595 + 16 z) Erf[Sqrt[2] z^(1/4)] + 16777216 E^(2 Sqrt[z]) Sqrt[2 Pi] z^(31/4) (-595 + 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