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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=19/4, b1`>=-11/2 > For fixed z and a1=19/4, b1`=3/2





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









  


  








Input Form





HypergeometricPFQ[{19/4}, {3/2, -(11/4)}, z] == -((1/(800415 z^(1/4))) (Sqrt[2] ((-800415 + 2522520 z - 2763648 z^2 + 1566720 z^3 + 32768 z^4) BesselI[1/4, Sqrt[z]]^2 + 12 Sqrt[z] (-266805 + 393840 z - 69376 z^2 + 69632 z^3) BesselI[1/4, Sqrt[z]] BesselI[5/4, Sqrt[z]] + 8 z (-229095 - 185040 z + 120576 z^2 + 4096 z^3) 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