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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.a7w0.01









  


  










Input Form





HypergeometricPFQ[{-(17/4)}, {11/2, -(1/4)}, z] == (1/(144200770560 z^(9/2))) ((-206239658625 + 206239658625 E^(4 Sqrt[z]) - 412479317250 Sqrt[z] - 412479317250 E^(4 Sqrt[z]) Sqrt[z] - 303932128500 z + 303932128500 E^(4 Sqrt[z]) z - 57891834000 z^(3/2) - 57891834000 E^(4 Sqrt[z]) z^(3/2) + 34735100400 z^2 - 34735100400 E^(4 Sqrt[z]) z^2 - 11227507200 z^3 + 11227507200 E^(4 Sqrt[z]) z^3 + 12831436800 z^(7/2) + 12831436800 E^(4 Sqrt[z]) z^(7/2) - 12831436800 z^4 + 12831436800 E^(4 Sqrt[z]) z^4 + 14822277120 z^(9/2) + 14822277120 E^(4 Sqrt[z]) z^(9/2) - 25102909440 z^5 + 25102909440 E^(4 Sqrt[z]) z^5 + 115275202560 z^(11/2) + 115275202560 E^(4 Sqrt[z]) z^(11/2) + 5681356800 z^6 - 5681356800 E^(4 Sqrt[z]) z^6 - 23399792640 z^(13/2) - 23399792640 E^(4 Sqrt[z]) z^(13/2) - 231997440 z^7 + 231997440 E^(4 Sqrt[z]) z^7 + 934281216 z^(15/2) + 934281216 E^(4 Sqrt[z]) z^(15/2) + 2097152 z^8 - 2097152 E^(4 Sqrt[z]) z^8 - 8388608 z^(17/2) - 8388608 E^(4 Sqrt[z]) z^(17/2) - 2048 E^(2 Sqrt[z]) Sqrt[2 Pi] z^(23/4) (-58267755 + 11509680 z - 456960 z^2 + 4096 z^3) Erf[Sqrt[2] z^(1/4)] + 2048 E^(2 Sqrt[z]) Sqrt[2 Pi] z^(23/4) (-58267755 + 11509680 z - 456960 z^2 + 4096 z^3) 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