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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=-11/2, b1`>=-11/2 > For fixed z and a1=-11/2, b1=1/2





http://functions.wolfram.com/07.22.03.0508.01









  


  










Input Form





HypergeometricPFQ[{-(11/2)}, {1/2, 2}, -z] == (1/(129729600 Sqrt[z])) (4 (2 Sqrt[z] (14968800 + 150727680 z + 164605725 z^2 + 36233520 z^3 + 2276512 z^4 + 45824 z^5 + 256 z^6) BesselJ[0, 2 Sqrt[z]] - (-2494800 + 91892160 z + 148286295 z^2 + 35134200 z^3 + 2253824 z^4 + 45696 z^5 + 256 z^6) BesselJ[1, 2 Sqrt[z]]) + Pi z^(3/2) (468242775 + 624323700 z + 142702560 z^2 + 9060480 z^3 + 183040 z^4 + 1024 z^5) BesselJ[1, 2 Sqrt[z]] StruveH[0, 2 Sqrt[z]] - Pi z^(3/2) (468242775 + 624323700 z + 142702560 z^2 + 9060480 z^3 + 183040 z^4 + 1024 z^5) BesselJ[0, 2 Sqrt[z]] StruveH[1, 2 Sqrt[z]])










Standard Form





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MathML Form







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2 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 1 <sep /> 2 </cn> </apply> </apply> </apply> <apply> <ci> StruveH </ci> <cn type='integer'> 0 </cn> <apply> <times /> <cn type='integer'> 2 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 1 <sep /> 2 </cn> </apply> </apply> </apply> <apply> <power /> <ci> z </ci> <cn type='rational'> 3 <sep /> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <pi /> <apply> <plus /> <apply> <times /> <cn type='integer'> 1024 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 5 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 183040 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 9060480 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 3 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 142702560 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> 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Rule Form





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





2007-05-02