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DLMF:28.2.E34

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Formula:8873
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MaRDI QIDQ8873

  • Label: DLMF:28.2.E34


Digital Library of Mathematical Functions ID 28.2.E34

ce 2 ⁢ n ⁡ ( z , - q ) = ( - 1 ) n ⁢ ce 2 ⁢ n ⁡ ( 1 2 ⁢ π - z , q ) , Mathieu-ce 2 𝑛 𝑧 𝑞 superscript 1 𝑛 Mathieu-ce 2 𝑛 1 2 𝜋 𝑧 𝑞 {\displaystyle{\displaystyle\mathrm{ce}_{2n}\left(z,-q\right)=(-1)^{n}\mathrm{% ce}_{2n}\left(\tfrac{1}{2}\pi-z,q\right),}}


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
  • 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
  •  Edit this on Wikidata

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