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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=-21/4





http://functions.wolfram.com/07.22.03.7694.01









  


  










Input Form





HypergeometricPFQ[{6}, {-(21/4), 9/4}, z] == (1/(5132574720 z^(5/4))) ((8 E^(2 Sqrt[z]) z^(1/4) (-468242775 - 914434920 z + 45902880 z^2 + 87010560 z^3 - 8970240 z^4 + 557056 z^5) + E^(4 Sqrt[z]) Sqrt[2 Pi] (468242775 - 936485550 Sqrt[z] + 2305195200 z - 3361743000 z^(3/2) + 2095632000 z^2 - 41912640 z^(5/2) - 681246720 z^3 + 349937280 z^(7/2) - 21081600 z^4 - 34713600 z^(9/2) + 6242304 z^5 + 2260992 z^(11/2) + 131072 z^6) Erf[Sqrt[2] z^(1/4)] + Sqrt[2 Pi] (468242775 + 936485550 Sqrt[z] + 2305195200 z + 3361743000 z^(3/2) + 2095632000 z^2 + 41912640 z^(5/2) - 681246720 z^3 - 349937280 z^(7/2) - 21081600 z^4 + 34713600 z^(9/2) + 6242304 z^5 - 2260992 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