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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=3, b1>=-23/4 > For fixed z and a1=3, b1=-17/4





http://functions.wolfram.com/07.22.03.6868.01









  


  










Input Form





HypergeometricPFQ[{3}, {-(17/4), 13/4}, z] == (1/(113152 z^(9/4))) ((-8 E^(2 Sqrt[z]) z^(1/4) (675675 + 332640 z + 100544 z^2 + 17408 z^3 + 512 z^4) - E^(4 Sqrt[z]) Sqrt[2 Pi] (-675675 + 1351350 Sqrt[z] - 1413720 z + 1025640 z^(3/2) - 614880 z^2 + 342720 z^(5/2) - 170240 z^3 + 65152 z^(7/2) - 16384 z^4 + 2048 z^(9/2)) Erf[Sqrt[2] z^(1/4)] + Sqrt[2 Pi] (675675 + 1351350 Sqrt[z] + 1413720 z + 1025640 z^(3/2) + 614880 z^2 + 342720 z^(5/2) + 170240 z^3 + 65152 z^(7/2) + 16384 z^4 + 2048 z^(9/2)) Erfi[Sqrt[2] z^(1/4)])/E^(2 Sqrt[z]))










Standard Form





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MathML Form







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Rule Form





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





2007-05-02