Plot of four <a href="https://en.wikipedia.org/wiki/Polylogarithm" class="extiw" title="en:Polylogarithm">Polylogarithms</a> in the interval [-8, 5]
<ul><li><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle y(x)=\operatorname {Li_{0}} (x)}"><semantics><mrow class="MJX-TeXAtom-ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>y</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo>=</mo><mrow class="MJX-TeXAtom-OP MJX-fixedlimits"><mi mathvariant="normal">L</mi><msub><mi mathvariant="normal">i</mi><mrow class="MJX-TeXAtom-ORD"><mn>0</mn></mrow></msub></mrow><mo>⁡<!-- ⁡ --></mo><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo></mstyle></mrow><annotation encoding="application/x-tex">{\displaystyle y(x)=\operatorname {Li_{0}} (x)}</annotation></semantics></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f5746516a5a1484fa27e47789d76b99aeb848977" class="mwe-math-fallback-image-inline" aria-hidden="true" style="vertical-align: -0.838ex; width:13.686ex; height:2.843ex;" alt="{\displaystyle y(x)=\operatorname {Li_{0}} (x)}"></span></li>
<li><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle y(x)=\operatorname {Li_{1}} (x)}"><semantics><mrow class="MJX-TeXAtom-ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>y</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo>=</mo><mrow class="MJX-TeXAtom-OP MJX-fixedlimits"><mi mathvariant="normal">L</mi><msub><mi mathvariant="normal">i</mi><mrow class="MJX-TeXAtom-ORD"><mn>1</mn></mrow></msub></mrow><mo>⁡<!-- ⁡ --></mo><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo></mstyle></mrow><annotation encoding="application/x-tex">{\displaystyle y(x)=\operatorname {Li_{1}} (x)}</annotation></semantics></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3e1b045b5612f6edd7a7360207ec1ff63ccc94a0" class="mwe-math-fallback-image-inline" aria-hidden="true" style="vertical-align: -0.838ex; width:13.686ex; height:2.843ex;" alt="{\displaystyle y(x)=\operatorname {Li_{1}} (x)}"></span></li>
<li><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle y(x)=\operatorname {Li_{2}} (x)}"><semantics><mrow class="MJX-TeXAtom-ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>y</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo>=</mo><mrow class="MJX-TeXAtom-OP MJX-fixedlimits"><mi mathvariant="normal">L</mi><msub><mi mathvariant="normal">i</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msub></mrow><mo>⁡<!-- ⁡ --></mo><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo></mstyle></mrow><annotation encoding="application/x-tex">{\displaystyle y(x)=\operatorname {Li_{2}} (x)}</annotation></semantics></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a1cbc126a2981c005afa1b5dec16d33add94156c" class="mwe-math-fallback-image-inline" aria-hidden="true" style="vertical-align: -0.838ex; width:13.686ex; height:2.843ex;" alt="{\displaystyle y(x)=\operatorname {Li_{2}} (x)}"></span></li>
<li><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle y(x)=\operatorname {Li_{3}} (x)}"><semantics><mrow class="MJX-TeXAtom-ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>y</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo>=</mo><mrow class="MJX-TeXAtom-OP MJX-fixedlimits"><mi mathvariant="normal">L</mi><msub><mi mathvariant="normal">i</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msub></mrow><mo>⁡<!-- ⁡ --></mo><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo></mstyle></mrow><annotation encoding="application/x-tex">{\displaystyle y(x)=\operatorname {Li_{3}} (x)}</annotation></semantics></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3761ca48e060a6ff3a464f43c62bfad26c946752" class="mwe-math-fallback-image-inline" aria-hidden="true" style="vertical-align: -0.838ex; width:13.686ex; height:2.843ex;" alt="{\displaystyle y(x)=\operatorname {Li_{3}} (x)}"></span></li></ul>
<a href="//commons.wikimedia.org/wiki/User:Geek3" title="User:Geek3">Geek3</a>
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