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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=-15/4, b1`>=-11/2 > For fixed z and a1=-15/4, b1`=-5/2





http://functions.wolfram.com/07.22.03.a81w.01









  


  










Input Form





HypergeometricPFQ[{-(15/4)}, {-(5/2), 19/4}, z] == ((2 Sqrt[z] (1393022255625 + 984161178000 z - 132324192000 z^2 + 152024371200 z^3 + 68935680000 z^4 + 12409896960 z^5 + 1929379840 z^6 - 268435456 z^7) BesselI[-(1/4), Sqrt[z]]^2 + (-4179066766875 - 9320585274000 z + 396972576000 z^2 - 196497100800 z^3 - 76809830400 z^4 - 13164871680 z^5 - 1761607680 z^6 + 268435456 z^7) BesselI[-(1/4), Sqrt[z]] BesselI[3/4, Sqrt[z]] + 2 Sqrt[z] (4179066766875 + 405242838000 z + 97037740800 z^2 - 172653465600 z^3 - 72297676800 z^4 - 12787384320 z^5 - 1862270976 z^6 + 268435456 z^7) BesselI[3/4, Sqrt[z]]^2) Gamma[3/4]^2)/ (294440140800 Sqrt[2] z^(13/4))










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