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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=6, b1>=-23/4 > For fixed z and a1=6, b1=-7/4





http://functions.wolfram.com/07.22.03.7830.01









  


  










Input Form





HypergeometricPFQ[{6}, {-(7/4), 23/4}, z] == (1/(134217728 z^(19/4))) ((209 (16 E^(2 Sqrt[z]) z^(3/4) (-156080925 - 52598700 z - 8557920 z^2 - 939456 z^3 - 75776 z^4 + 16384 z^5) + E^(4 Sqrt[z]) Sqrt[2 Pi] (-468242775 + 936485550 Sqrt[z] - 960498000 z + 672348600 z^(3/2) - 361972800 z^2 + 160453440 z^(5/2) - 61447680 z^3 + 21168000 z^(7/2) - 6888960 z^4 + 2273280 z^(9/2) - 638976 z^5 - 32768 z^(11/2) + 131072 z^6) Erf[Sqrt[2] z^(1/4)] + Sqrt[2 Pi] (468242775 + 936485550 Sqrt[z] + 960498000 z + 672348600 z^(3/2) + 361972800 z^2 + 160453440 z^(5/2) + 61447680 z^3 + 21168000 z^(7/2) + 6888960 z^4 + 2273280 z^(9/2) + 638976 z^5 - 32768 z^(11/2) - 131072 z^6) 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