Formula:8844

Digital Library of Mathematical Functions ID 28.2.E8

${\displaystyle{\displaystyle w_{\mbox{\tiny II}}(z\pm\pi;a,q)=\pm w_{\mbox{\tiny II}}(\pi;a,q)w_{\mbox{\tiny I}}(z;a,q)+w^{\prime}_{\mbox{\tiny II}}(\pi;a,q)w_{\mbox{\tiny II}}(z;a,q),}}$

Symbols List

• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle q=h^{2}}}$: parameter
• ${\displaystyle{\displaystyle z}}$: complex variable
• ${\displaystyle{\displaystyle a}}$: parameter
• ${\displaystyle{\displaystyle w(z)}}$: Mathieu’s equation solution
• ${\displaystyle{\displaystyle w_{\mbox{\tiny I}}(z;a,q)}}$: fundamental solution
• ${\displaystyle{\displaystyle w_{\mbox{\tiny II}}(z;a,q)}}$: fundamental solution
 

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