Formula:9177

Digital Library of Mathematical Functions ID 28.29.E5

${\displaystyle{\displaystyle w_{\mbox{\tiny II}}(z+\pi,\lambda)=w_{\mbox{\tiny II}}(\pi,\lambda)w_{\mbox{\tiny I}}(z,\lambda)+w^{\prime}_{\mbox{\tiny II}}(\pi,\lambda)w_{\mbox{\tiny II}}(z,\lambda).}}$

Symbols List

• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle z}}$: complex variable
• ${\displaystyle{\displaystyle w(z)}}$: 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
• ${\displaystyle{\displaystyle\lambda}}$: parameter
 

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