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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=1/4, b1`>=-11/2 > For fixed z and a1=1/4, b1`=-9/2





http://functions.wolfram.com/07.22.03.abj8.01









  


  










Input Form





HypergeometricPFQ[{1/4}, {-(9/2), 19/4}, z] == -((1/(25165824 Sqrt[2] z^(13/4))) (11 (-2 Sqrt[z] (3664185525 + 3622366800 z + 323331840 z^2 + 8138752 z^3) BesselI[-(1/4), Sqrt[z]]^2 + (10992556575 + 27617662800 z + 5695223040 z^2 + 230830080 z^3 + 1048576 z^4) BesselI[-(1/4), Sqrt[z]] BesselI[3/4, Sqrt[z]] - 1530 Sqrt[z] (14369355 + 5446896 z + 495872 z^2 + 4096 z^3) 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