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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`=-7/2





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









  


  










Input Form





HypergeometricPFQ[{1/4}, {-(7/2), 15/4}, z] == (1/(655360 Sqrt[2] z^(9/4))) (11 (-10 Sqrt[z] (487305 + 445536 z + 9472 z^2) BesselI[-(1/4), Sqrt[z]]^ 2 + (7309575 + 17821440 z + 2545920 z^2 + 32768 z^3) BesselI[-(1/4), Sqrt[z]] BesselI[3/4, Sqrt[z]] - 1326 Sqrt[z] (105 + 16 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