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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`=3/2





http://functions.wolfram.com/07.22.03.afq4.01









  


  










Input Form





HypergeometricPFQ[{19/4}, {3/2, -(19/4)}, z] == -((1/(228118275 z^(1/4))) (Sqrt[2] ((-228118275 + 608315400 z - 424682496 z^2 + 23924736 z^3 + 8454144 z^4 + 524288 z^5) BesselI[1/4, Sqrt[z]]^2 + 12 Sqrt[z] (-76039425 + 68806080 z + 29480448 z^2 - 10092544 z^3 + 983040 z^4) BesselI[1/4, Sqrt[z]] BesselI[5/4, Sqrt[z]] + 8 z (-52971975 - 74468160 z + 14234112 z^2 + 65536 z^4) BesselI[5/4, Sqrt[z]]^2) Gamma[5/4]^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