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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/07.26.03.0017.01









  


  










Input Form





HypergeometricPFQ[{-(n/2), (1 - n)/2}, {1/2, -n, 1/2 - n}, z] == (2^(-(1/2) - n)/Gamma[1/2 + n]) z^((2 n + 1)/4) (((-1)^n Pi BesselI[1/2 + n, Sqrt[z]])/E^Sqrt[z] + 2 Cosh[Sqrt[z]] BesselK[1/2 + n, 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





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