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<h3 class="section">5.4 Elementary Complex Functions</h3>
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— Function: gsl_complex <b>gsl_complex_sqrt</b> (<var>gsl_complex z</var>)<var><a name="index-gsl_005fcomplex_005fsqrt-165"></a></var><br>
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<blockquote><p><a name="index-square-root-of-complex-number-166"></a>This function returns the square root of the complex number <var>z</var>,
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\sqrt z. The branch cut is the negative real axis. The result
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always lies in the right half of the complex plane.
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</p></blockquote></div>
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— Function: gsl_complex <b>gsl_complex_sqrt_real</b> (<var>double x</var>)<var><a name="index-gsl_005fcomplex_005fsqrt_005freal-167"></a></var><br>
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<blockquote><p>This function returns the complex square root of the real number
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<var>x</var>, where <var>x</var> may be negative.
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</p></blockquote></div>
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— Function: gsl_complex <b>gsl_complex_pow</b> (<var>gsl_complex z, gsl_complex a</var>)<var><a name="index-gsl_005fcomplex_005fpow-168"></a></var><br>
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<blockquote><p><a name="index-power-of-complex-number-169"></a><a name="index-exponentiation-of-complex-number-170"></a>The function returns the complex number <var>z</var> raised to the complex
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power <var>a</var>, z^a. This is computed as \exp(\log(z)*a)
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using complex logarithms and complex exponentials.
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</p></blockquote></div>
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— Function: gsl_complex <b>gsl_complex_pow_real</b> (<var>gsl_complex z, double x</var>)<var><a name="index-gsl_005fcomplex_005fpow_005freal-171"></a></var><br>
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<blockquote><p>This function returns the complex number <var>z</var> raised to the real
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power <var>x</var>, z^x.
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</p></blockquote></div>
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— Function: gsl_complex <b>gsl_complex_exp</b> (<var>gsl_complex z</var>)<var><a name="index-gsl_005fcomplex_005fexp-172"></a></var><br>
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<blockquote><p>This function returns the complex exponential of the complex number
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<var>z</var>, \exp(z).
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</p></blockquote></div>
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— Function: gsl_complex <b>gsl_complex_log</b> (<var>gsl_complex z</var>)<var><a name="index-gsl_005fcomplex_005flog-173"></a></var><br>
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<blockquote><p><a name="index-logarithm-of-complex-number-174"></a>This function returns the complex natural logarithm (base e) of
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the complex number <var>z</var>, \log(z). The branch cut is the
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</p></blockquote></div>
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— Function: gsl_complex <b>gsl_complex_log10</b> (<var>gsl_complex z</var>)<var><a name="index-gsl_005fcomplex_005flog10-175"></a></var><br>
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<blockquote><p>This function returns the complex base-10 logarithm of
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the complex number <var>z</var>, <!-- {$\log_{10}(z)$} -->
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</p></blockquote></div>
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— Function: gsl_complex <b>gsl_complex_log_b</b> (<var>gsl_complex z, gsl_complex b</var>)<var><a name="index-gsl_005fcomplex_005flog_005fb-176"></a></var><br>
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<blockquote><p>This function returns the complex base-<var>b</var> logarithm of the complex
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number <var>z</var>, \log_b(z). This quantity is computed as the ratio
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</p></blockquote></div>
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