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variants of this functions
HypergeometricPFQ






Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1},{b1,b2},z] > Differentiation > Low-order differentiation > With respect to element of parameters ||| With respect to element of parameters





http://functions.wolfram.com/07.22.20.0011.01









  


  










Input Form





(D[HypergeometricPFQ[{1}, {b, b + n}, z], b] /. b -> 1) == ((n - 1)! (BesselI[n, 2 Sqrt[z]] (1 - EulerGamma n - n Log[z] + n PolyGamma[n]) + (-1)^(n - 1) n (2 BesselK[n, 2 Sqrt[z]] - Sum[(((-1)^k (n - k - 1)!)/k!) z^(k - n/2), {k, 0, n - 1}])))/ z^(n/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





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