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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=-23/4, b1`>=-11/2 > For fixed z and a1=-23/4, b1`=-3/2





http://functions.wolfram.com/07.22.03.8152.01









  


  










Input Form





HypergeometricPFQ[{-(23/4)}, {-(3/2), -(9/4)}, z] == (1/(1184625 Sqrt[2])) (z^(1/4) ((1184625 + 351000 z + 5054400 z^2 + 89856000 z^3 - 100029440 z^4 + 12288000 z^5 - 262144 z^6) BesselI[-(1/4), Sqrt[z]]^2 + 4 Sqrt[z] (-1184625 + 596700 z - 5616000 z^2 + 11598720 z^3 - 1515520 z^4 + 32768 z^5) BesselI[-(1/4), Sqrt[z]] BesselI[3/4, Sqrt[z]] + 4 z (1184625 - 1544400 z - 17291520 z^2 + 24264960 z^3 - 3055616 z^4 + 65536 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