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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=21/4, b1`>=-11/2 > For fixed z and a1=21/4, b1`=-1/2





http://functions.wolfram.com/07.22.03.ag4e.01









  


  








Input Form





HypergeometricPFQ[{21/4}, {-(1/2), 15/4}, z] == -((1/(1697280 Sqrt[2] z^(9/4))) (77 (2 Sqrt[z] (-12285 - 19440 z - 25856 z^2 + 27648 z^3) BesselI[-(1/4), Sqrt[z]]^2 + (36855 + 114480 z + 93696 z^2 + 71680 z^3 + 16384 z^4) BesselI[-(1/4), Sqrt[z]] BesselI[3/4, Sqrt[z]] + 2 Sqrt[z] (-36855 - 35856 z - 29184 z^2 + 25600 z^3) 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