Formula:9427

Digital Library of Mathematical Functions ID 29.14.E1

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle f_{n}^{m}(s,t)=\LamepolyuE{m}{2n}@{s}{k^{2}}\LamepolyuE{m}{2n}@{\compellintKk@@{k}+\iunit t}{k^{2}},}

Constraint(s)

${\displaystyle{\displaystyle m=0,1,\dots,n}}$

Symbols List

• ${\displaystyle{\displaystyle\mathit{uE}^{\NVar{m}}_{2\NVar{n}}\left(\NVar{z},\NVar{k^{2}}\right)}}$: Lamé polynomial
• ${\displaystyle{\displaystyle K\left(\NVar{k}\right)}}$: Legendre’s complete elliptic integral of the first kind
• ${\displaystyle{\displaystyle\mathrm{i}}}$: imaginary unit
• ${\displaystyle{\displaystyle m}}$: nonnegative integer
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
• ${\displaystyle{\displaystyle k}}$: real parameter
 

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