DLMF:29.15.E13

MaRDI QIDQ9450

• Label: DLMF:29.15.E13

Digital Library of Mathematical Functions ID 29.15.E13

${\displaystyle{\displaystyle\mathit{cE}^{m}_{2n+1}\left(z,k^{2}\right)=\sum_{p=0}^{n}B_{2p+1}\sin\left((2p+1)\phi\right).}}$

Symbols List

• ${\displaystyle{\displaystyle\mathit{cE}^{\NVar{m}}_{2\NVar{n}+1}\left(\NVar{z},\NVar{k^{2}}\right)}}$: Lamé polynomial
• ${\displaystyle{\displaystyle\sin\NVar{z}}}$: sine function
• ${\displaystyle{\displaystyle m}}$: nonnegative integer
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
• ${\displaystyle{\displaystyle p}}$: nonnegative integer
• ${\displaystyle{\displaystyle z}}$: complex variable
• ${\displaystyle{\displaystyle k}}$: real parameter
• ${\displaystyle{\displaystyle\phi}}$: change of variable (locally)
• ${\displaystyle{\displaystyle B_{2p+1}}}$: coefficents
 

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