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variants of this functions
HypergeometricPFQ






Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1,...,ap},{b1,...,bq},z] > Specific values > Specialized values > Case 4F1





http://functions.wolfram.com/07.31.03.0126.01









  


  










Input Form





HypergeometricPFQ[{-(n/2), (1 - n)/2, (3 + n)/2, n/2 + 2}, {3/2}, z] == ((-(Sqrt[2 Pi]/((1 + n) (2 + n)))) ((-1)^n (-z)^(3/2 + n) BesselI[-(3/2) - n, 1/Sqrt[z]] Cos[(n Pi)/2 - 1/Sqrt[-z]] + z^(3/2 + n) BesselI[3/2 + n, 1/Sqrt[z]] Sin[(n Pi)/2 - 1/Sqrt[-z]]))/((-z)^((n + 3)/2) z^((2 n + 3)/4)) /; 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