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





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









  


  










Input Form





HypergeometricPFQ[{11/4}, {-(11/2), 21/4}, z] == (221 (-6 Sqrt[z] (-22489828185825 + 21055565638800 z + 5191227740160 z^2 + 409773686784 z^3 + 13061586944 z^4 + 130023424 z^5) BesselI[1/4, Sqrt[z]]^2 + (-337347422787375 + 555724985230800 z + 214138144281600 z^2 + 24114090147840 z^3 + 1117360226304 z^4 + 20107493376 z^5 + 67108864 z^6) BesselI[1/4, Sqrt[z]] BesselI[5/4, Sqrt[z]] - 18 Sqrt[z] (37483046976375 + 18216612968400 z + 2884015411200 z^2 + 187193180160 z^3 + 5226627072 z^4 + 46137344 z^5) BesselI[5/4, Sqrt[z]]^2) Gamma[5/4]^2)/(20346568704 Sqrt[2] z^(15/4))










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