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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=15/4, b1`>=-11/2 > For fixed z and a1=15/4, b1`=-7/2





http://functions.wolfram.com/07.22.03.aeo1.01









  


  










Input Form





HypergeometricPFQ[{15/4}, {-(7/2), 1/4}, -z] == (1/(24255 z^(1/4))) (Sqrt[2] ((24255 + 152460 z + 199584 z^2 + 75712 z^3 + 44032 z^4) BesselJ[1/4, Sqrt[z]]^2 - 4 Sqrt[z] (24255 + 55440 z - 27216 z^2 - 35200 z^3 + 2048 z^4) BesselJ[1/4, Sqrt[z]] BesselJ[5/4, Sqrt[z]] - 4 z (-24255 + 41580 z + 38416 z^2 + 9472 z^3) BesselJ[5/4, Sqrt[z]]^2) Gamma[5/4]^2)










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