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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=-13/4, b1`>=-11/2 > For fixed z and a1=-13/4, b1`=3/2





http://functions.wolfram.com/07.22.03.a8na.01









  


  










Input Form





HypergeometricPFQ[{-(13/4)}, {3/2, 21/4}, z] == (17 (2 Sqrt[z] (-54784404675 + 94670175600 z - 63826963200 z^2 + 1578150604800 z^3 - 2294666035200 z^4 + 509428629504 z^5 - 24712839168 z^6 + 268435456 z^7) BesselI[1/4, Sqrt[z]]^2 - 3 (-91307341125 + 222713290800 z - 120907987200 z^2 + 179891712000 z^3 - 1883647180800 z^4 + 488201256960 z^5 - 24477958144 z^6 + 268435456 z^7) BesselI[1/4, Sqrt[z]] BesselI[5/4, Sqrt[z]] + 2 Sqrt[z] (273922023375 - 83772889200 z + 94962067200 z^2 - 290594304000 z^3 + 1936112025600 z^4 - 491158241280 z^5 + 24511512576 z^6 - 268435456 z^7) BesselI[5/4, Sqrt[z]]^2) Gamma[5/4]^2)/ (25178878771200 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