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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`=1/2





http://functions.wolfram.com/07.22.03.a91s.01









  


  










Input Form





HypergeometricPFQ[{-(11/4)}, {1/2, 15/4}, z] == (1/(132710400 Sqrt[2] z^(9/4))) ((-2 Sqrt[z] (3274425 - 831600 z - 59788800 z^2 + 181002240 z^3 - 35848192 z^4 + 1048576 z^5) BesselI[-(1/4), Sqrt[z]]^2 + (9823275 + 12474000 z + 5322240 z^2 + 160358400 z^3 - 35192832 z^4 + 1048576 z^5) BesselI[-(1/4), Sqrt[z]] BesselI[3/4, Sqrt[z]] + 2 Sqrt[z] (-9823275 + 8482320 z - 26611200 z^2 + 172449792 z^3 - 35586048 z^4 + 1048576 z^5) BesselI[3/4, Sqrt[z]]^2) Gamma[3/4]^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