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variants of this functions
HypergeometricPFQRegularized




Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQRegularized[{a1,...,ap},{b1,...,bq},z] > Specific values > Specialized values > Case 4F~1





http://functions.wolfram.com/07.32.03.0122.01









  


  








Input Form





HypergeometricPFQRegularized[{-n, n + 1, c, 1 - c}, {1/2}, z] == ((Sqrt[Pi] (-1)^n Csc[c Pi])/(2 Sqrt[z])) (BesselI[-c - n, 1/Sqrt[z]] BesselI[-1 + c - n, 1/Sqrt[z]] - BesselI[1 - c + n, 1/Sqrt[z]] BesselI[c + n, 1/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