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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=-9/4





http://functions.wolfram.com/07.22.03.7812.01









  


  










Input Form





HypergeometricPFQ[{6}, {-(9/4), 17/4}, z] == -((1/(62914560 z^(13/4))) ((13 (8 E^(2 Sqrt[z]) z^(1/4) (9823275 + 6112260 z + 2328480 z^2 + 1231680 z^3 - 30720 z^4 + 16384 z^5) + E^(4 Sqrt[z]) Sqrt[2 Pi] (-9823275 + 19646550 Sqrt[z] - 21829500 z + 17463600 z^(3/2) - 11642400 z^2 + 6985440 z^(5/2) - 5100480 z^3 + 4435200 z^(7/2) - 2365440 z^4 + 540672 z^5 + 65536 z^(11/2)) Erf[Sqrt[2] z^(1/4)] - Sqrt[2 Pi] (9823275 + 19646550 Sqrt[z] + 21829500 z + 17463600 z^(3/2) + 11642400 z^2 + 6985440 z^(5/2) + 5100480 z^3 + 4435200 z^(7/2) + 2365440 z^4 - 540672 z^5 + 65536 z^(11/2)) 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