KelvinBei[\[Nu], z] \[Proportional] Exp[2 \[Nu] Pi I Floor[Arg[z - x]/(2 Pi)]] (KelvinBei[\[Nu], x] + (-(KelvinBei[-1 + \[Nu], x]/Sqrt[2]) + KelvinBer[-1 + \[Nu], x]/Sqrt[2] - (\[Nu] KelvinBei[\[Nu], x])/x) (z - x) + (1/(4 x^2)) (2 \[Nu] (1 + \[Nu]) KelvinBei[\[Nu], x] + x (Sqrt[2] (KelvinBei[-1 + \[Nu], x] - KelvinBer[-1 + \[Nu], x]) + 2 KelvinBer[\[Nu], x] x)) (z - x)^2 + \[Ellipsis]) /; (z -> x) && Element[x, Reals] && x < 0

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</mi> <mo> - </mo> <mn> 1 </mn> </mrow> </msub> <mo> ( </mo> <mi> x </mi> <mo> ) </mo> </mrow> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mn> 2 </mn> <mo> &#8290; </mo> <mi> x </mi> <mo> &#8290; </mo> <mrow> <msub> <mi> ber </mi> <mi> &#957; </mi> </msub> <mo> ( </mo> <mi> x </mi> <mo> ) </mo> </mrow> </mrow> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mn> 2 </mn> <mo> &#8290; </mo> <mi> &#957; </mi> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mi> &#957; </mi> <mo> + </mo> <mn> 1 </mn> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <mrow> <msub> <mi> bei </mi> <mi> &#957; </mi> </msub> <mo> ( </mo> <mi> x </mi> <mo> ) </mo> </mrow> </mrow> </mrow> <mrow> <mn> 4 </mn> <mo> &#8290; </mo> <msup> <mi> x </mi> <mn> 2 </mn> </msup> </mrow> </mfrac> <mo> &#8290; </mo> <msup> <mrow> <mo> ( </mo> <mrow> <mi> z </mi> <mo> - </mo> <mi> x </mi> </mrow> <mo> ) </mo> </mrow> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mo> &#8230; </mo> </mrow> <mo> ) </mo> </mrow> </mrow> </mrow> <mo> /; 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2007-05-02