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variants of this functions
Hypergeometric0F1




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric0F1[b,z] > Differentiation > Low-order differentiation > With respect to b





http://functions.wolfram.com/07.17.20.0003.01









  


  








Input Form





Derivative[1, 0][Hypergeometric0F1][n, z] == Hypergeometric0F1[n, z] (PolyGamma[n] - Log[z]/2) + ((-1)^n (n - 1)! (BesselK[n - 1, 2 Sqrt[z]] - (((n - 1)!/2) Sum[(((-1)^k BesselI[k, 2 Sqrt[z]]) z^(k/2))/ ((n - 1 - k) k!), {k, 0, n - 2}])/z^((n - 1)/2)))/z^((n - 1)/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