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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=1/4, b1`>=-11/2 > For fixed z and a1=1/4, b1`=-3/2





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









  


  










Input Form





HypergeometricPFQ[{1/4}, {-(3/2), -(1/4)}, -z] == -((1/(3 Sqrt[2])) (z^(1/4) ((-3 + 8 z) BesselJ[-(1/4), Sqrt[z]]^2 + 4 Sqrt[z] (-3 + 4 z) BesselJ[-(1/4), Sqrt[z]] BesselJ[3/4, Sqrt[z]] - 12 z BesselJ[3/4, Sqrt[z]]^2) Gamma[3/4]^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