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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=-9/2, b1`>=-11/2 > For fixed z and a1=-9/2, b1=5/2





http://functions.wolfram.com/07.22.03.0933.01









  


  










Input Form





HypergeometricPFQ[{-(9/2)}, {5/2, 4}, z] == (1/(5189184000 z^(5/2))) (4 (2 Sqrt[z] (-10886400 + 76204800 z + 1006439175 z^2 - 1146575700 z^3 + 219126240 z^4 - 11845248 z^5 + 207616 z^6 - 1024 z^7) BesselI[0, 2 Sqrt[z]] + (21772800 - 141523200 z - 580763925 z^2 + 1046488500 z^3 - 213380640 z^4 + 11742336 z^5 - 207104 z^6 + 1024 z^7) BesselI[1, 2 Sqrt[z]]) + Pi z^(3/2) (-638512875 - 3064861800 z + 4378374000 z^2 - 864864000 z^3 + 47174400 z^4 - 829440 z^5 + 4096 z^6) BesselI[1, 2 Sqrt[z]] StruveL[0, 2 Sqrt[z]] + Pi z^(3/2) (638512875 + 3064861800 z - 4378374000 z^2 + 864864000 z^3 - 47174400 z^4 + 829440 z^5 - 4096 z^6) BesselI[0, 2 Sqrt[z]] StruveL[1, 2 Sqrt[z]])










Standard Form





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MathML Form







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<times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 141523200 </cn> <ci> z </ci> </apply> </apply> <cn type='integer'> 21772800 </cn> </apply> <apply> <ci> BesselI </ci> <cn type='integer'> 1 </cn> <apply> <times /> <cn type='integer'> 2 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 1 <sep /> 2 </cn> </apply> </apply> </apply> </apply> </apply> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02