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Formula:9065

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Digital Library of Mathematical Functions ID 28.22.E7

g o , 2 ⁢ m + 1 ⁢ ( h ) = ( - 1 ) m ⁢ 2 π ⁢ se 2 ⁢ m + 1 ⁡ ( 1 2 ⁢ π , h 2 ) h ⁢ B 1 2 ⁢ m + 1 ⁢ ( h 2 ) , subscript 𝑔 𝑜 2 𝑚 1 ℎ superscript 1 𝑚 2 𝜋 Mathieu-se 2 𝑚 1 1 2 𝜋 superscript ℎ 2 ℎ superscript subscript 𝐵 1 2 𝑚 1 superscript ℎ 2 {\displaystyle{\displaystyle g_{\mathit{o},2m+1}(h)=(-1)^{m}\sqrt{\dfrac{2}{% \pi}}\dfrac{\mathrm{se}_{2m+1}\left(\frac{1}{2}\pi,h^{2}\right)}{hB_{1}^{2m+1}% (h^{2})},}}


Constraint(s)

Symbols List

  • se n ⁡ ( z , q ) Mathieu-se 𝑛 𝑧 𝑞 {\displaystyle{\displaystyle\mathrm{se}_{\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
  • B m ⁢ ( q ) subscript 𝐵 𝑚 𝑞 {\displaystyle{\displaystyle B_{m}(q)}} : Fourier coefficient
  •  Edit this on Wikidata

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