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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=5/4, b1`>=-11/2 > For fixed z and a1=5/4, b1`=-9/2





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









  


  








Input Form





HypergeometricPFQ[{5/4}, {-(9/2), -(1/4)}, z] == (1/(945 Sqrt[2])) (z^(1/4) ((945 + 2940 z + 912 z^2 - 832 z^3) BesselI[-(1/4), Sqrt[z]]^2 + 4 Sqrt[z] (-945 - 1482 z + 528 z^2 + 128 z^3) BesselI[-(1/4), Sqrt[z]] BesselI[3/4, Sqrt[z]] + 12 z (315 + 8 z - 80 z^2) BesselI[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