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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=9/2





http://functions.wolfram.com/07.22.03.2627.01









  


  










Input Form





HypergeometricPFQ[{1/2}, {9/2, 5}, z] == (1/(16 z^(7/2))) (4 (2 Sqrt[z] (288 + 291 z + 80 z^2 + 16 z^3) BesselI[0, 2 Sqrt[z]] - (576 + 345 z + 88 z^2 + 16 z^3) BesselI[1, 2 Sqrt[z]]) - Pi Sqrt[z] (1575 + 1260 z + 336 z^2 + 64 z^3) BesselI[1, 2 Sqrt[z]] StruveL[0, 2 Sqrt[z]] + Pi Sqrt[z] (1575 + 1260 z + 336 z^2 + 64 z^3) 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