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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=-3/4, b1`>=-11/2 > For fixed z and a1=-3/4, b1`=-9/2





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









  


  










Input Form





HypergeometricPFQ[{-(3/4)}, {-(9/2), 23/4}, -z] == -((209 (2 Sqrt[z] (184874815125 - 181972018800 z + 15504652800 z^2 - 298721280 z^3 - 20381696 z^4 + 1048576 z^5) BesselJ[-(1/4), Sqrt[z]]^ 2 - (554624445375 - 1391058068400 z + 281298700800 z^2 - 10346618880 z^3 + 16711680 z^4 + 1048576 z^5) BesselJ[-(1/4), Sqrt[z]] BesselJ[3/4, Sqrt[z]] + 2 Sqrt[z] (-554624445375 + 207859251600 z - 18162593280 z^2 + 169205760 z^3 - 20643840 z^4 + 1048576 z^5) BesselJ[3/4, Sqrt[z]]^2) Gamma[3/4]^2)/(4831838208 Sqrt[2] z^(17/4)))










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