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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/07.22.03.8284.01









  


  










Input Form





HypergeometricPFQ[{-(23/4)}, {3/2, -(21/4)}, z] == (1/(1090405850625 Sqrt[2])) (z^(1/4) ((1090405850625 + 1957951371600 z + 572359737600 z^2 + 73927987200 z^3 + 5587927040 z^4 + 298844160 z^5 + 16777216 z^6) BesselI[-(1/4), Sqrt[z]]^2 - 8 Sqrt[z] (163066794975 + 39627882000 z + 4882348800 z^2 + 362680320 z^3 + 19333120 z^4 + 1048576 z^5) BesselI[-(1/4), Sqrt[z]] BesselI[3/4, Sqrt[z]] - (2292816782025 + 2151305427600 z + 593887392000 z^2 + 75472588800 z^3 + 5669191680 z^4 + 303038464 z^5 + 16777216 z^6) 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