EllipticExpPrime[z, {a, b}] == D[EllipticExp[z, {a, b}], z]

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<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <msubsup> <mi> eexp </mi> <mi> z </mi> <mo> &#8242; </mo> </msubsup> <mo> ( </mo> <mrow> <mrow> <mi> z </mi> <mo> ; </mo> <mi> a </mi> </mrow> <mo> , </mo> <mi> b </mi> </mrow> <mo> ) </mo> </mrow> <mo> &#10869; </mo> <mfrac> <mrow> <mo> &#8706; </mo> <mrow> <mi> eexp </mi> <mo> &#8289; </mo> <mo> ( </mo> <mrow> <mrow> <mi> z </mi> <mo> ; </mo> <mi> a </mi> </mrow> <mo> , </mo> <mi> b </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mrow> <mo> &#8706; </mo> <mi> z </mi> </mrow> </mfrac> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <apply> <partialdiff /> <list> <cn type='integer'> 1 </cn> </list> <apply> <ci> Subscript </ci> <ci> eexp </ci> <ci> z </ci> </apply> </apply> <apply> <ci> CompoundExpression </ci> <ci> z </ci> <ci> a </ci> </apply> <ci> b </ci> </apply> <apply> <partialdiff /> <bvar> <ci> z </ci> </bvar> <apply> <ci> eexp </ci> <apply> <ci> CompoundExpression </ci> <ci> z </ci> <ci> a </ci> </apply> <ci> b </ci> </apply> </apply> </apply> </annotation-xml> </semantics> </math>

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2001-10-29