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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=7/2





http://functions.wolfram.com/07.22.03.1651.01









  


  










Input Form





HypergeometricPFQ[{-(5/2)}, {7/2, 6}, z] == (1/(4324320 z^(9/2))) (-4 (2 Sqrt[z] (-518400 + 388800 z - 1123200 z^2 - 1198575 z^3 - 1399680 z^4 + 473952 z^5 - 24064 z^6 + 256 z^7) BesselI[0, 2 Sqrt[z]] + (1036800 - 259200 z + 1771200 z^2 + 1579725 z^3 + 1182600 z^4 - 462144 z^5 + 23936 z^6 - 256 z^7) BesselI[1, 2 Sqrt[z]]) + Pi z^(5/2) (-6081075 - 5791500 z - 5148000 z^2 + 1872000 z^3 - 96000 z^4 + 1024 z^5) BesselI[1, 2 Sqrt[z]] StruveL[0, 2 Sqrt[z]] + Pi z^(5/2) (6081075 + 5791500 z + 5148000 z^2 - 1872000 z^3 + 96000 z^4 - 1024 z^5) BesselI[0, 2 Sqrt[z]] StruveL[1, 2 Sqrt[z]])










Standard Form





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MathML Form







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</apply> <apply> <times /> <cn type='integer'> 1182600 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 1579725 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 3 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 1771200 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 259200 </cn> <ci> z </ci> </apply> </apply> <cn type='integer'> 1036800 </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> </apply> </annotation-xml> </semantics> </math>










Rule Form





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





2007-05-02