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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=-21/4





http://functions.wolfram.com/07.22.03.6830.01









  


  










Input Form





HypergeometricPFQ[{3}, {-(21/4), 21/4}, z] == (1/(344064 z^(17/4))) ((-8 E^(2 Sqrt[z]) z^(1/4) (76603301775 + 27539972460 z + 4454049600 z^2 + 302702400 z^3 + 9224448 z^4 + 93184 z^5) + E^(4 Sqrt[z]) Sqrt[2 Pi] (76603301775 - 153206603550 Sqrt[z] + 150105255300 z - 95935039200 z^(3/2) + 44886441600 z^2 - 16332956640 z^(5/2) + 4782697920 z^3 - 1146562560 z^(7/2) + 225434880 z^4 - 35735040 z^(9/2) + 4359168 z^5 - 368640 z^(11/2) + 16384 z^6) Erf[Sqrt[2] z^(1/4)] + Sqrt[2 Pi] (76603301775 + 153206603550 Sqrt[z] + 150105255300 z + 95935039200 z^(3/2) + 44886441600 z^2 + 16332956640 z^(5/2) + 4782697920 z^3 + 1146562560 z^(7/2) + 225434880 z^4 + 35735040 z^(9/2) + 4359168 z^5 + 368640 z^(11/2) + 16384 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