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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=-3/2, b1`>=-11/2 > For fixed z and a1=-3/2, b1=3/2





http://functions.wolfram.com/07.22.03.1921.01









  


  










Input Form





HypergeometricPFQ[{-(3/2)}, {3/2, 3}, z] == (1/(210 z^(3/2))) (4 (Sqrt[z] (-3 + 72 z - 86 z^2 + 8 z^3) BesselI[0, 2 Sqrt[z]] + (3 - 18 z + 41 z^2 - 4 z^3) BesselI[1, 2 Sqrt[z]]) + Pi z^(3/2) (-105 + 168 z - 16 z^2) BesselI[1, 2 Sqrt[z]] StruveL[0, 2 Sqrt[z]] + Pi z^(3/2) (105 - 168 z + 16 z^2) 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