data/mathoid/200.mml
<math
xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="upper F left-parenthesis x comma s right-parenthesis equals StartFraction normal upper Gamma left-parenthesis 1 minus s right-parenthesis Over left-parenthesis 2 pi right-parenthesis Superscript 1 minus s Baseline EndFraction left-parenthesis e Superscript pi i left-parenthesis 1 minus s right-parenthesis slash 2 Baseline zeta left-parenthesis 1 minus s comma x right-parenthesis plus e Superscript pi i left-parenthesis s minus 1 right-parenthesis slash 2 Baseline zeta left-parenthesis 1 minus s comma 1 minus x right-parenthesis right-parenthesis">
<semantics>
<mrow data-semantic-type="relseq" data-semantic-role="equality" data-semantic-id="108" data-semantic-children="105,107" data-semantic-content="8">
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<mi data-semantic-type="identifier" data-semantic-role="simple function" data-semantic-font="italic" data-semantic-id="0" data-semantic-parent="105" data-semantic-operator="appl">F</mi>
<mo data-semantic-type="punctuation" data-semantic-role="application" data-semantic-id="104" data-semantic-parent="105" data-semantic-added="true" data-semantic-operator="appl"></mo>
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<mo data-semantic-type="fence" data-semantic-role="open" data-semantic-id="1" data-semantic-parent="7" data-semantic-operator="fenced">(</mo>
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<mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="2" data-semantic-parent="5">x</mi>
<mo data-semantic-type="punctuation" data-semantic-role="comma" data-semantic-id="3" data-semantic-parent="5" data-semantic-operator="punctuated">,</mo>
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<mo data-semantic-type="fence" data-semantic-role="close" data-semantic-id="6" data-semantic-parent="7" data-semantic-operator="fenced">)</mo>
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<mo data-semantic-type="relation" data-semantic-role="equality" data-semantic-id="8" data-semantic-parent="108" data-semantic-operator="relseq,=">=</mo>
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<mfrac data-semantic-type="fraction" data-semantic-role="division" data-semantic-id="31" data-semantic-children="18,27" data-semantic-parent="107">
<mrow data-semantic-type="infixop" data-semantic-role="implicit" data-semantic-id="18" data-semantic-children="9,16" data-semantic-content="17" data-semantic-parent="31">
<mi mathvariant="normal" data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="normal" data-semantic-id="9" data-semantic-parent="18">Γ
<!-- Γ -->
</mi>
<mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="17" data-semantic-parent="18" data-semantic-added="true" data-semantic-operator="infixop,"></mo>
<mrow data-semantic-type="fenced" data-semantic-role="leftright" data-semantic-id="16" data-semantic-children="14" data-semantic-content="10,15" data-semantic-parent="18">
<mo data-semantic-type="fence" data-semantic-role="open" data-semantic-id="10" data-semantic-parent="16" data-semantic-operator="fenced">(</mo>
<mrow data-semantic-type="infixop" data-semantic-role="subtraction" data-semantic-id="14" data-semantic-children="11,13" data-semantic-content="12" data-semantic-parent="16">
<mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="11" data-semantic-parent="14">1</mn>
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<mo data-semantic-type="fence" data-semantic-role="close" data-semantic-id="15" data-semantic-parent="16" data-semantic-operator="fenced">)</mo>
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<mrow>
<msup data-semantic-type="superscript" data-semantic-role="leftright" data-semantic-id="27" data-semantic-children="30,26" data-semantic-parent="31" data-semantic-fencepointer="22">
<mrow data-semantic-type="fenced" data-semantic-role="leftright" data-semantic-id="30" data-semantic-children="29" data-semantic-content="19,22" data-semantic-parent="27">
<mo stretchy="false" data-semantic-type="fence" data-semantic-role="open" data-semantic-id="19" data-semantic-parent="30">(</mo>
<mrow data-semantic-type="infixop" data-semantic-role="implicit" data-semantic-id="29" data-semantic-children="20,21" data-semantic-content="28" data-semantic-parent="30">
<mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="20" data-semantic-parent="29">2</mn>
<mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="28" data-semantic-parent="29" data-semantic-added="true" data-semantic-operator="infixop,"></mo>
<mi data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="italic" data-semantic-id="21" data-semantic-parent="29">π
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</mrow>
<mo stretchy="false" data-semantic-type="fence" data-semantic-role="close" data-semantic-id="22" data-semantic-parent="30">)</mo>
</mrow>
<mrow class="MJX-TeXAtom-ORD" data-semantic-type="infixop" data-semantic-role="subtraction" data-semantic-id="26" data-semantic-children="23,25" data-semantic-content="24" data-semantic-parent="27">
<mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="23" data-semantic-parent="26">1</mn>
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<mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="106" data-semantic-parent="107" data-semantic-added="true" data-semantic-operator="infixop,"></mo>
<mrow data-semantic-type="fenced" data-semantic-role="leftright" data-semantic-id="103" data-semantic-children="101" data-semantic-content="32,102" data-semantic-parent="107">
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<mrow data-semantic-type="infixop" data-semantic-role="implicit" data-semantic-id="98" data-semantic-children="49,96" data-semantic-content="97" data-semantic-parent="101">
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<mrow data-semantic-type="infixop" data-semantic-role="implicit" data-semantic-id="47" data-semantic-children="34,35,44" data-semantic-content="45,46" data-semantic-parent="48">
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<mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="37" data-semantic-parent="43">1</mn>
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<mo data-semantic-type="operator" data-semantic-role="division" data-semantic-id="41" data-semantic-parent="48" data-semantic-operator="infixop,/">/</mo>
</mrow>
<mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="42" data-semantic-parent="48">2</mn>
</mrow>
</msup>
<mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="97" data-semantic-parent="98" data-semantic-added="true" data-semantic-operator="infixop,"></mo>
<mrow data-semantic-type="appl" data-semantic-role="simple function" data-semantic-id="96" data-semantic-children="50,60" data-semantic-content="95,50" data-semantic-parent="98">
<mi data-semantic-type="identifier" data-semantic-role="simple function" data-semantic-font="italic" data-semantic-id="50" data-semantic-parent="96" data-semantic-operator="appl">ζ
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<mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="52" data-semantic-parent="57">1</mn>
<mo data-semantic-type="operator" data-semantic-role="subtraction" data-semantic-id="53" data-semantic-parent="57" data-semantic-operator="infixop,−">−
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</mrow>
</mrow>
</mrow>
<mo data-semantic-type="operator" data-semantic-role="addition" data-semantic-id="61" data-semantic-parent="101" data-semantic-operator="infixop,+">+</mo>
<mrow data-semantic-type="infixop" data-semantic-role="implicit" data-semantic-id="100" data-semantic-children="78,94" data-semantic-content="99" data-semantic-parent="101">
<msup data-semantic-type="superscript" data-semantic-role="latinletter" data-semantic-id="78" data-semantic-children="62,77" data-semantic-parent="100">
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<mrow class="MJX-TeXAtom-ORD" data-semantic-type="infixop" data-semantic-role="division" data-semantic-id="77" data-semantic-children="76,71" data-semantic-content="70" data-semantic-parent="78">
<mrow data-semantic-type="infixop" data-semantic-role="implicit" data-semantic-id="76" data-semantic-children="63,64,73" data-semantic-content="74,75" data-semantic-parent="77">
<mi data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="italic" data-semantic-id="63" data-semantic-parent="76">π
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<mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="74" data-semantic-parent="76" data-semantic-added="true" data-semantic-operator="infixop,"></mo>
<mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="64" data-semantic-parent="76">i</mi>
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<mrow data-semantic-type="fenced" data-semantic-role="leftright" data-semantic-id="73" data-semantic-children="72" data-semantic-content="65,69" data-semantic-parent="76">
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<mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="68" data-semantic-parent="72">1</mn>
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<mo data-semantic-type="operator" data-semantic-role="division" data-semantic-id="70" data-semantic-parent="77" data-semantic-operator="infixop,/">/</mo>
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<mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="71" data-semantic-parent="77">2</mn>
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</msup>
<mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="99" data-semantic-parent="100" data-semantic-added="true" data-semantic-operator="infixop,"></mo>
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</mrow>
<annotation encoding="application/x-tex">F\left(x,s\right)={\frac {\Gamma \left(1-s\right)}{(2\pi )^{1-s}}}\left(e^{\pi i(1-s)/2}\zeta \left(1-s,x\right)+e^{\pi i(s-1)/2}\zeta \left(1-s,1-x\right)\right)</annotation>
</semantics>
</math>