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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=-7/4, b1`>=-11/2 > For fixed z and a1=-7/4, b1`=9/2





http://functions.wolfram.com/07.22.03.aa2w.01









  


  










Input Form





HypergeometricPFQ[{-(7/4)}, {9/2, 7/4}, z] == (1/(636480 Sqrt[2] z^(11/4))) ((4 z (-11025 + 10080 z + 238800 z^2 - 94720 z^3 + 4096 z^4) BesselI[-(1/4), Sqrt[z]]^2 - 4 Sqrt[z] (-33075 + 23940 z + 93240 z^2 - 46080 z^3 + 2048 z^4) BesselI[-(1/4), Sqrt[z]] BesselI[3/4, Sqrt[z]] - (99225 - 52920 z + 161280 z^2 + 866880 z^3 - 374784 z^4 + 16384 z^5) 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