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Formula:8927

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Digital Library of Mathematical Functions ID 28.5.E9

𝒲 ⁑ { se n , ge n } = - se n β€² ⁑ ( 0 , q ) ⁒ ge n ⁑ ( 0 , q ) . Wronskian Mathieu-se 𝑛 Mathieu-ge 𝑛 diffop Mathieu-se 𝑛 1 0 π‘ž Mathieu-ge 𝑛 0 π‘ž {\displaystyle{\displaystyle\mathscr{W}\left\{\mathrm{se}_{n},\mathrm{ge}_{n}% \right\}=-\mathrm{se}_{n}'\left(0,q\right)\mathrm{ge}_{n}\left(0,q\right).}}


Constraint(s)

Symbols List

  • ge n ⁑ ( z , q ) Mathieu-ge 𝑛 𝑧 π‘ž {\displaystyle{\displaystyle\mathrm{ge}_{\NVar{n}}\left(\NVar{z},\NVar{q}% \right)}} : second solution, Mathieu’s equation
  • se n ⁑ ( z , q ) Mathieu-se 𝑛 𝑧 π‘ž {\displaystyle{\displaystyle\mathrm{se}_{\NVar{n}}\left(\NVar{z},\NVar{q}% \right)}} :
  • 𝒲 Wronskian {\displaystyle{\displaystyle\mathscr{W}}} : Wronskian
  • q = h 2 π‘ž superscript β„Ž 2 {\displaystyle{\displaystyle q=h^{2}}} : parameter
  • n 𝑛 {\displaystyle{\displaystyle n}} : integer
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This page was last edited on 28 January 2024, at 10:30.
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