Formula:KLS:09.09:16

<< Formula:KLS:09.09:15

formula in Pseudo Jacobi

Formula:KLS:09.09:17 >>

${\displaystyle{\displaystyle{\displaystyle(1+x^{2})^{-N-1}{\mathrm{e}^{2\nu\operatorname{arctan}x}}=(1+\mathrm{i}x)^{-N-1-\mathrm{i}\nu}(1-\mathrm{i}x)^{-N-1+\mathrm{i}\nu}}}}$

Proof

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Symbols List

${\displaystyle{\displaystyle{\displaystyle\mathrm{e}}}}$ : the base of the natural logarithm : http://dlmf.nist.gov/4.2.E11
${\displaystyle{\displaystyle{\displaystyle\mathrm{i}}}}$ : imaginary unit : http://dlmf.nist.gov/1.9.i

Bibliography

Equation in Section 9.9 of KLS.

URL links

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<< Formula:KLS:09.09:15

formula in Pseudo Jacobi

Formula:KLS:09.09:17 >>