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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=19/4, b1`>=-11/2 > For fixed z and a1=19/4, b1`=-9/2





http://functions.wolfram.com/07.22.03.afj8.01









  


  










Input Form





HypergeometricPFQ[{19/4}, {-(9/2), 21/4}, z] == -((221 (2 Sqrt[z] (-5189960350575 + 4522046039280 z + 1496664449280 z^2 + 186931261440 z^3 + 13997506560 z^4 + 846200832 z^5 + 16777216 z^6) BesselI[1/4, Sqrt[z]]^2 - (-25949801752875 + 41063422554000 z + 19163584661760 z^2 + 3057676554240 z^3 + 267216814080 z^4 + 17222860800 z^5 + 687865856 z^6) BesselI[1/4, Sqrt[z]] BesselI[5/4, Sqrt[z]] + 2 Sqrt[z] (25949801752875 + 14296154518800 z + 2899133233920 z^2 + 304551383040 z^3 + 21332951040 z^4 + 1116733440 z^5 + 16777216 z^6) BesselI[5/4, Sqrt[z]]^2) Gamma[5/4]^2)/ (38149816320 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