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





http://functions.wolfram.com/07.22.03.1622.01









  


  










Input Form





HypergeometricPFQ[{-(5/2)}, {5/2, 5}, -z] == (1/(360360 z^(7/2))) (4 (2 Sqrt[z] (-6480 - 6120 z - 21600 z^2 + 89355 z^3 + 52508 z^4 + 4176 z^5 + 64 z^6) BesselJ[0, 2 Sqrt[z]] + (12960 + 5760 z + 36000 z^2 - 66465 z^3 - 50476 z^4 - 4144 z^5 - 64 z^6) BesselJ[1, 2 Sqrt[z]]) + Pi z^(5/2) (-135135 + 308880 z + 205920 z^2 + 16640 z^3 + 256 z^4) BesselJ[1, 2 Sqrt[z]] StruveH[0, 2 Sqrt[z]] - Pi z^(5/2) (-135135 + 308880 z + 205920 z^2 + 16640 z^3 + 256 z^4) BesselJ[0, 2 Sqrt[z]] StruveH[1, 2 Sqrt[z]])










Standard Form





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MathML Form







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</cn> </apply> </apply> </apply> <apply> <power /> <ci> z </ci> <cn type='rational'> 5 <sep /> 2 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 4 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> 2 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 1 <sep /> 2 </cn> </apply> <apply> <plus /> <apply> <times /> <cn type='integer'> 64 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 6 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 4176 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 5 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 52508 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 89355 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 3 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 21600 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> 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Rule Form





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





2007-05-02