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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=-13/4, b1`>=-11/2 > For fixed z and a1=-13/4, b1`=7/2





http://functions.wolfram.com/07.22.03.a8pk.01









  


  










Input Form





HypergeometricPFQ[{-(13/4)}, {7/2, 7/4}, z] == (1/(826957824 z^(5/2))) ((-4 (-505440 - 1010880 Sqrt[z] + 1572480 z + 4492800 z^(3/2) + 11732175 z^2 - 58134252 z^(5/2) - 4636464 z^3 + 19410624 z^(7/2) + 302336 z^4 - 1221632 z^(9/2) - 4096 z^5 + 16384 z^(11/2) + E^(4 Sqrt[z]) (505440 - 1010880 Sqrt[z] - 1572480 z + 4492800 z^(3/2) - 11732175 z^2 - 58134252 z^(5/2) + 4636464 z^3 + 19410624 z^(7/2) - 302336 z^4 - 1221632 z^(9/2) + 4096 z^5 + 16384 z^(11/2))) + E^(2 Sqrt[z]) Sqrt[2 Pi] z^(7/4) (-42181425 + 245419200 z - 78534144 z^2 + 4898816 z^3 - 65536 z^4) Erf[Sqrt[2] z^(1/4)] + E^(2 Sqrt[z]) Sqrt[2 Pi] z^(7/4) (42181425 - 245419200 z + 78534144 z^2 - 4898816 z^3 + 65536 z^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