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variants of this functions
HypergeometricPFQ






Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1},{b1,b2},z] > Specific values > For integer and half-integer parameters and fixed z > For fixed z and a1=-1/2, b1`>=-11/2 > For fixed z and a1=-1/2, b1=3





http://functions.wolfram.com/07.22.03.2288.01









  


  










Input Form





HypergeometricPFQ[{-(1/2)}, {3, 11/2}, z] == (1/(81920 z^4)) (21 (-4 (2 z (1575 - 1080 z - 2048 z^2 - 1664 z^3 + 256 z^4) BesselI[0, 2 Sqrt[z]] + Sqrt[z] (-4725 + 2400 z + 2656 z^2 + 1536 z^3 - 256 z^4) BesselI[1, 2 Sqrt[z]]) + Pi (-4725 + 4500 z - 7200 z^2 - 9600 z^3 - 6400 z^4 + 1024 z^5) BesselI[1, 2 Sqrt[z]] StruveL[0, 2 Sqrt[z]] + Pi (4725 - 4500 z + 7200 z^2 + 9600 z^3 + 6400 z^4 - 1024 z^5) BesselI[0, 2 Sqrt[z]] StruveL[1, 2 Sqrt[z]]))










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