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Formula:8879

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Digital Library of Mathematical Functions ID 28.4.E1

ce 2 ⁢ n ⁡ ( z , q ) = ∑ m = 0 ∞ A 2 ⁢ m 2 ⁢ n ⁢ ( q ) ⁢ cos ⁡ 2 ⁢ m ⁢ z , Mathieu-ce 2 𝑛 𝑧 𝑞 superscript subscript 𝑚 0 subscript superscript 𝐴 2 𝑛 2 𝑚 𝑞 2 𝑚 𝑧 {\displaystyle{\displaystyle\mathrm{ce}_{2n}\left(z,q\right)=\sum_{m=0}^{% \infty}A^{2n}_{2m}(q)\cos 2mz,}}


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)}} :
  • cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}} : cosine 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
  • A m ⁢ ( q ) subscript 𝐴 𝑚 𝑞 {\displaystyle{\displaystyle A_{m}(q)}} : Fourier coefficient
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This page was last edited on 28 January 2024, at 10:30.
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