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variants of this functions
HypergeometricPFQ




Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1},{b1,b2},z] > Specific values > Specialized values > For fixed b1, b2, z





http://functions.wolfram.com/07.22.03.0310.01









  


  








Input Form





HypergeometricPFQ[{4 + Subscript[b, 1]}, {Subscript[b, 1], Subscript[b, 2]}, z] == (z^((1/2) (1 - Subscript[b, 2])) Gamma[Subscript[b, 2]] (BesselI[-1 + Subscript[b, 2], 2 Sqrt[z]] ((11 + 6 z) Subscript[b, 1]^2 + 6 Subscript[b, 1]^3 + Subscript[b, 1]^4 + Subscript[b, 1] (6 + 26 z - 4 z Subscript[b, 2]) + z (26 + z - 9 Subscript[b, 2] + Subscript[b, 2]^2)) + Sqrt[z] BesselI[Subscript[b, 2], 2 Sqrt[z]] (24 + 10 z + 4 Subscript[b, 1]^3 - 6 Subscript[b, 1]^2 (-4 + Subscript[b, 2]) - 2 (13 + z) Subscript[b, 2] + 9 Subscript[b, 2]^2 - Subscript[b, 2]^3 + Subscript[b, 1] (44 + 4 z - 26 Subscript[b, 2] + 4 Subscript[b, 2]^2))))/ (Subscript[b, 1] (1 + Subscript[b, 1]) (2 + Subscript[b, 1]) (3 + Subscript[b, 1]))








Standard Form





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MathML Form







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type='integer'> -1 </cn> </apply> </apply> <apply> <times /> <apply> <power /> <ci> z </ci> <apply> <times /> <cn type='rational'> 1 <sep /> 2 </cn> <apply> <plus /> <cn type='integer'> 1 </cn> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <ci> Subscript </ci> <ci> b </ci> <cn type='integer'> 2 </cn> </apply> </apply> </apply> </apply> </apply> <apply> <ci> Gamma </ci> <apply> <ci> Subscript </ci> <ci> b </ci> <cn type='integer'> 2 </cn> </apply> </apply> <apply> <plus /> <apply> <times /> <apply> <ci> BesselI </ci> <apply> <plus /> <apply> <ci> Subscript </ci> <ci> b </ci> <cn type='integer'> 2 </cn> </apply> <cn type='integer'> -1 </cn> </apply> <apply> <times /> <cn type='integer'> 2 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 1 <sep /> 2 </cn> </apply> </apply> </apply> <apply> <plus /> <apply> <power /> <apply> <ci> Subscript </ci> <ci> b </ci> <cn type='integer'> 1 </cn> </apply> <cn type='integer'> 4 </cn> </apply> <apply> <times /> <cn type='integer'> 6 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Rule Form





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





2002-12-18