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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`=9/2





http://functions.wolfram.com/07.22.03.8456.01









  


  










Input Form





HypergeometricPFQ[{-(23/4)}, {9/2, 7/4}, z] == ((4 z (-7161773243625 + 13095813931200 z + 1621498534580925 z^2 - 1816442066181600 z^3 + 387222472615680 z^4 - 25587343441920 z^5 + 625964941312 z^6 - 5802819584 z^7 + 16777216 z^8) BesselI[-(1/4), Sqrt[z]]^2 - 2 Sqrt[z] (-42970639461750 + 70389999880200 z + 918644241489975 z^2 - 1610972961998400 z^3 + 372216921373440 z^4 - 25205667102720 z^5 + 622366359552 z^6 - 5792333824 z^7 + 16777216 z^8) BesselI[-(1/4), Sqrt[z]] BesselI[3/4, Sqrt[z]] - (64455959192625 - 93307674259800 z + 419066045798400 z^2 + 5125809995806500 z^3 - 6914327442422400 z^4 + 1524239140469760 z^5 - 101732352196608 z^6 + 2498083160064 z^7 - 23194501120 z^8 + 67108864 z^9) BesselI[3/4, Sqrt[z]]^2) Gamma[3/4]^2)/ (5075922924072000 Sqrt[2] z^(11/4))










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