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





http://functions.wolfram.com/07.22.03.a9oa.01









  


  










Input Form





HypergeometricPFQ[{-(9/4)}, {11/2, 9/4}, z] == (1/(29072736 Sqrt[2] z^(13/4))) ((-4 z (893025 - 567000 z - 19015416 z^2 + 16781184 z^3 - 1763328 z^4 + 32768 z^5) BesselI[1/4, Sqrt[z]]^2 + 12 Sqrt[z] (1488375 - 812700 z - 3360420 z^2 + 7643328 z^3 - 867328 z^4 + 16384 z^5) BesselI[1/4, Sqrt[z]] BesselI[5/4, Sqrt[z]] + (-22325625 + 10206000 z - 11340000 z^2 - 32266080 z^3 + 61963776 z^4 - 6955008 z^5 + 131072 z^6) BesselI[5/4, Sqrt[z]]^2) Gamma[5/4]^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