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





http://functions.wolfram.com/07.22.03.adw1.01









  


  








Input Form





HypergeometricPFQ[{11/4}, {-(1/2), 1/4}, -z] == (1/(21 z^(1/4))) (Sqrt[2] ((21 + 504 z - 704 z^2) BesselJ[1/4, Sqrt[z]]^2 + 4 Sqrt[z] (-21 - 316 z + 64 z^2) BesselJ[1/4, Sqrt[z]] BesselJ[5/4, Sqrt[z]] + 4 z (21 + 128 z) 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