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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=11/2





http://functions.wolfram.com/07.22.03.2327.01









  


  










Input Form





HypergeometricPFQ[{-(1/2)}, {11/2, 6}, z] == (1/(5632 z^(9/2))) (-4 (2 Sqrt[z] (-184320 - 235215 z - 78720 z^2 - 15008 z^3 - 3584 z^4 + 256 z^5) BesselI[0, 2 Sqrt[z]] + (368640 + 290925 z + 88200 z^2 + 16576 z^3 + 3456 z^4 - 256 z^5) BesselI[1, 2 Sqrt[z]]) + Pi Sqrt[z] (-1091475 - 1039500 z - 332640 z^2 - 63360 z^3 - 14080 z^4 + 1024 z^5) BesselI[1, 2 Sqrt[z]] StruveL[0, 2 Sqrt[z]] + Pi Sqrt[z] (1091475 + 1039500 z + 332640 z^2 + 63360 z^3 + 14080 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