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





http://functions.wolfram.com/07.22.03.a988.01









  


  










Input Form





HypergeometricPFQ[{-(11/4)}, {11/2, 7/4}, z] == ((-4 z (-65367225 + 30561300 z - 23284800 z^2 - 528082240 z^3 + 252902400 z^4 - 18333696 z^5 + 262144 z^6) BesselI[-(1/4), Sqrt[z]]^2 + 4 Sqrt[z] (-196101675 + 54331200 z - 50450400 z^2 - 198881760 z^3 + 120942080 z^4 - 9084928 z^5 + 131072 z^6) BesselI[-(1/4), Sqrt[z]] BesselI[3/4, Sqrt[z]] + (588305025 - 50935500 z + 114483600 z^2 - 341510400 z^3 - 1886142720 z^4 + 993685504 z^5 - 73072640 z^6 + 1048576 z^7) BesselI[3/4, Sqrt[z]]^2) Gamma[3/4]^2)/ (1435616000 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