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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.ac3l.01









  


  








Input Form





HypergeometricPFQ[{3/4}, {-(1/2), -(15/4)}, z] == (1/(3465 z^(1/4))) (Sqrt[2] ((3465 - 5544 z - 1344 z^2 + 4096 z^3) BesselI[1/4, Sqrt[z]]^2 - 4 Sqrt[z] (-3465 + 924 z + 3456 z^2 + 1024 z^3) BesselI[1/4, Sqrt[z]] BesselI[5/4, Sqrt[z]] + 28 z (495 + 528 z + 256 z^2) BesselI[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