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variants of this functions
HypergeometricPFQ




Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1,a2},{b1,b2,b3},z] > Specific values > Specialized values > For fixed z and integer parameters





http://functions.wolfram.com/07.26.03.0015.01









  


  








Input Form





HypergeometricPFQ[{-n, 1/2 - n}, {3/2, -2 n, -2 n - 1/2}, z] == ((2 n)!/(4 n + 1)!) 2^(2 n - 1/2) Sqrt[Pi] z^(n + 1/4) (Cosh[Sqrt[z]] BesselI[2 n + 3/2, Sqrt[z]] - Sinh[Sqrt[z]] BesselI[-2 n - 3/2, Sqrt[z]]) /; Element[n, Integers] && n > 0








Standard Form





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MathML Form







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Rule Form





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





2001-10-29