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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`=5/2





http://functions.wolfram.com/07.22.03.9490.01









  


  










Input Form





HypergeometricPFQ[{-(19/4)}, {5/2, -(15/4)}, z] == (1/(96486390000 z^(3/2))) ((13749310575 - 13749310575 E^(4 Sqrt[z]) + 27498621150 Sqrt[z] + 27498621150 E^(4 Sqrt[z]) Sqrt[z] - 5237832600 z + 5237832600 E^(4 Sqrt[z]) z + 1102701600 z^(3/2) + 1102701600 E^(4 Sqrt[z]) z^(3/2) - 259459200 z^2 + 259459200 E^(4 Sqrt[z]) z^2 + 69189120 z^(5/2) + 69189120 E^(4 Sqrt[z]) z^(5/2) - 21288960 z^3 + 21288960 E^(4 Sqrt[z]) z^3 + 7741440 z^(7/2) + 7741440 E^(4 Sqrt[z]) z^(7/2) - 3440640 z^4 + 3440640 E^(4 Sqrt[z]) z^4 + 1966080 z^(9/2) + 1966080 E^(4 Sqrt[z]) z^(9/2) - 1572864 z^5 + 1572864 E^(4 Sqrt[z]) z^5 + 2097152 z^(11/2) + 2097152 E^(4 Sqrt[z]) z^(11/2) - 8388608 z^6 + 8388608 E^(4 Sqrt[z]) z^6 - 8388608 E^(2 Sqrt[z]) Sqrt[2 Pi] z^(25/4) Erf[Sqrt[2] z^(1/4)] - 8388608 E^(2 Sqrt[z]) Sqrt[2 Pi] z^(25/4) 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