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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=1/4, b1`>=-11/2 > For fixed z and a1=1/4, b1`=-9/2





http://functions.wolfram.com/07.22.03.abj6.01









  


  










Input Form





HypergeometricPFQ[{1/4}, {-(9/2), 17/4}, z] == (1/(2818572288 z^(13/4))) ((13 (-4 z^(1/4) (-19010843775 - 25347791700 Sqrt[z] - 17007550560 z - 7226651520 z^(3/2) - 2048935680 z^2 - 396026880 z^(5/2) - 40894464 z^3 - 2097152 z^(7/2) + E^(4 Sqrt[z]) (-19010843775 + 25347791700 Sqrt[z] - 17007550560 z + 7226651520 z^(3/2) - 2048935680 z^2 + 396026880 z^(5/2) - 40894464 z^3 + 2097152 z^(7/2))) + 21945 E^(2 Sqrt[z]) Sqrt[2 Pi] (-866295 + 149040 z - 17664 z^2 + 4096 z^3) Erf[Sqrt[2] z^(1/4)] + 21945 E^(2 Sqrt[z]) Sqrt[2 Pi] (-866295 + 149040 z - 17664 z^2 + 4096 z^3) 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