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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`=-1/2





http://functions.wolfram.com/07.22.03.9352.01









  


  










Input Form





HypergeometricPFQ[{-(19/4)}, {-(1/2), -(9/4)}, z] == (1/(78975 Sqrt[2])) (z^(1/4) ((-(-78975 + 175500 z + 1572480 z^2 + 3425280 z^3 - 1527808 z^4 + 65536 z^5)) BesselI[-(1/4), Sqrt[z]]^2 + 4 Sqrt[z] (-78975 + 238680 z + 322560 z^2 - 185856 z^3 + 8192 z^4) BesselI[-(1/4), Sqrt[z]] BesselI[3/4, Sqrt[z]] + 4 z (78975 + 488160 z + 767232 z^2 - 377856 z^3 + 16384 z^4) 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