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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`=9/2





http://functions.wolfram.com/07.22.03.9590.01









  


  










Input Form





HypergeometricPFQ[{-(19/4)}, {9/2, -(11/4)}, z] == (1/(2814094483200 z^(7/2))) ((5155991465625 - 5155991465625 E^(4 Sqrt[z]) + 10311982931250 Sqrt[z] + 10311982931250 E^(4 Sqrt[z]) Sqrt[z] + 7589619437400 z - 7589619437400 E^(4 Sqrt[z]) z + 1429928299800 z^(3/2) + 1429928299800 E^(4 Sqrt[z]) z^(3/2) - 754247894400 z^2 + 754247894400 E^(4 Sqrt[z]) z^2 + 251415964800 z^(5/2) + 251415964800 E^(4 Sqrt[z]) z^(5/2) - 78875596800 z^3 + 78875596800 E^(4 Sqrt[z]) z^3 + 25738352640 z^(7/2) + 25738352640 E^(4 Sqrt[z]) z^(7/2) - 9196830720 z^4 + 9196830720 E^(4 Sqrt[z]) z^4 + 3746856960 z^(9/2) + 3746856960 E^(4 Sqrt[z]) z^(9/2) - 1816657920 z^5 + 1816657920 E^(4 Sqrt[z]) z^5 + 1108869120 z^(11/2) + 1108869120 E^(4 Sqrt[z]) z^(11/2) - 931135488 z^6 + 931135488 E^(4 Sqrt[z]) z^6 + 1283457024 z^(13/2) + 1283457024 E^(4 Sqrt[z]) z^(13/2) - 5234491392 z^7 + 5234491392 E^(4 Sqrt[z]) z^7 - 33554432 z^(15/2) - 33554432 E^(4 Sqrt[z]) z^(15/2) + 134217728 z^8 - 134217728 E^(4 Sqrt[z]) z^8 + 8388608 E^(2 Sqrt[z]) Sqrt[2 Pi] z^(29/4) (-627 + 16 z) Erf[Sqrt[2] z^(1/4)] + 8388608 E^(2 Sqrt[z]) Sqrt[2 Pi] z^(29/4) (-627 + 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