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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=-17/4, b1`>=-11/2 > For fixed z and a1=-17/4, b1`=3/2





http://functions.wolfram.com/07.22.03.a7r2.01









  


  










Input Form





HypergeometricPFQ[{-(17/4)}, {3/2, 13/4}, z] == ((-2 Sqrt[z] (1964187225 - 825153769440 z + 1737909169920 z^2 - 732507291648 z^3 + 75223203840 z^4 - 2212495360 z^5 + 16777216 z^6) BesselI[1/4, Sqrt[z]]^2 + 3 (3273645375 - 27935107200 z + 1194746192640 z^2 - 669843947520 z^3 + 73312043008 z^4 - 2197815296 z^5 + 16777216 z^6) BesselI[1/4, Sqrt[z]] BesselI[5/4, Sqrt[z]] + 2 Sqrt[z] (9820936125 - 62853991200 z + 1256311330560 z^2 - 678217236480 z^3 + 73580347392 z^4 - 2199912448 z^5 + 16777216 z^6) BesselI[5/4, Sqrt[z]]^2) Gamma[5/4]^2)/ (809789460480 Sqrt[2] z^(7/4))










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