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Formula:8990

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Digital Library of Mathematical Functions ID 28.11.E7

sin ⁡ ( 2 ⁢ m + 2 ) ⁢ z = ∑ n = 0 ∞ B 2 ⁢ m + 2 2 ⁢ n + 2 ⁢ ( q ) ⁢ se 2 ⁢ n + 2 ⁡ ( z , q ) . 2 𝑚 2 𝑧 superscript subscript 𝑛 0 superscript subscript 𝐵 2 𝑚 2 2 𝑛 2 𝑞 Mathieu-se 2 𝑛 2 𝑧 𝑞 {\displaystyle{\displaystyle\sin(2m+2)z=\sum_{n=0}^{\infty}B_{2m+2}^{2n+2}(q)% \mathrm{se}_{2n+2}\left(z,q\right).}}


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)}} :
  • sin ⁡ z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}} : sine function
  • m 𝑚 {\displaystyle{\displaystyle m}} : integer
  • q = h 2 𝑞 superscript ℎ 2 {\displaystyle{\displaystyle q=h^{2}}} : parameter
  • n 𝑛 {\displaystyle{\displaystyle n}} : integer
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
  • B m ⁢ ( q ) subscript 𝐵 𝑚 𝑞 {\displaystyle{\displaystyle B_{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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