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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=-5/4, b1`>=-11/2 > For fixed z and a1=-5/4, b1`=5/2





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









  


  










Input Form





HypergeometricPFQ[{-(5/4)}, {5/2, 19/4}, z] == -((1/(268435456 z^(15/4))) ((3 (4 z^(1/4) (-1334025 - 1778700 Sqrt[z] + 517440 z + 1774080 z^(3/2) - 171520 z^2 + 3205120 z^(5/2) + 1064960 z^3 - 4456448 z^(7/2) - 65536 z^4 + 262144 z^(9/2) + E^(4 Sqrt[z]) (1334025 - 1778700 Sqrt[z] - 517440 z + 1774080 z^(3/2) + 171520 z^2 + 3205120 z^(5/2) - 1064960 z^3 - 4456448 z^(7/2) + 65536 z^4 + 262144 z^(9/2))) + E^(2 Sqrt[z]) Sqrt[2 Pi] (1334025 - 1940400 z + 8870400 z^2 + 15769600 z^3 - 18022400 z^4 + 1048576 z^5) Erf[Sqrt[2] z^(1/4)] - E^(2 Sqrt[z]) Sqrt[2 Pi] (1334025 - 1940400 z + 8870400 z^2 + 15769600 z^3 - 18022400 z^4 + 1048576 z^5) Erfi[Sqrt[2] z^(1/4)]))/E^(2 Sqrt[z])))










Standard Form





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MathML Form







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</math>










Rule Form





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





2007-05-02