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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 z and with symbolical integers in parameters > For fixed z and a1=-m, b1=1/2-n, b2=-p





http://functions.wolfram.com/07.22.03.0031.01









  


  








Input Form





HypergeometricPFQ[{-n}, {1/2 - n, -2 n}, z] == ((2^(2 n - 1) Pi n!^2)/(2 n)!^2) z^(n + 1/2) (BesselI[-n - 1/2, Sqrt[z]]^2 - BesselI[n + 1/2, Sqrt[z]]^2) /; 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