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Formula:9063

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Digital Library of Mathematical Functions ID 28.22.E5

g e , 2 ⁢ m ⁢ ( h ) = ( - 1 ) m ⁢ 2 π ⁢ ce 2 ⁢ m ⁡ ( 1 2 ⁢ π , h 2 ) A 0 2 ⁢ m ⁢ ( h 2 ) , subscript 𝑔 𝑒 2 𝑚 ℎ superscript 1 𝑚 2 𝜋 Mathieu-ce 2 𝑚 1 2 𝜋 superscript ℎ 2 superscript subscript 𝐴 0 2 𝑚 superscript ℎ 2 {\displaystyle{\displaystyle g_{\mathit{e},2m}(h)=(-1)^{m}\sqrt{\dfrac{2}{\pi}% }\dfrac{\mathrm{ce}_{2m}\left(\frac{1}{2}\pi,h^{2}\right)}{A_{0}^{2m}(h^{2})},}}


Constraint(s)

Symbols List

  • ce n ⁡ ( z , q ) Mathieu-ce 𝑛 𝑧 𝑞 {\displaystyle{\displaystyle\mathrm{ce}_{\NVar{n}}\left(\NVar{z},\NVar{q}% \right)}} :
  • π {\displaystyle{\displaystyle\pi}} : the ratio of the circumference of a circle to its diameter
  • m 𝑚 {\displaystyle{\displaystyle m}} : integer
  • h ℎ {\displaystyle{\displaystyle h}} : parameter
  • g e , n ⁢ ( h ) subscript 𝑔 𝑒 𝑛 ℎ {\displaystyle{\displaystyle g_{\mathit{e},n}(h)}} : joining factors
  • A m ⁢ ( q ) subscript 𝐴 𝑚 𝑞 {\displaystyle{\displaystyle A_{m}(q)}} : Fourier coefficient
  •  Edit this on Wikidata

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This page was last edited on 28 January 2024, at 10:30.
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