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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`=-1/2





http://functions.wolfram.com/07.22.03.ac3i.01









  


  








Input Form





HypergeometricPFQ[{3/4}, {-(1/2), -(19/4)}, -z] == (1/(65835 z^(1/4))) (Sqrt[2] ((65835 + 110880 z - 7392 z^2 - 56320 z^3 + 8192 z^4) BesselJ[1/4, Sqrt[z]]^2 - 4 Sqrt[z] (65835 + 23100 z - 54912 z^2 + 19456 z^3) BesselJ[1/4, Sqrt[z]] BesselJ[5/4, Sqrt[z]] + 4 z (65835 - 64680 z + 30208 z^2 - 2048 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