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DLMF:28.2.E36

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Formula:8875
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MaRDI QIDQ8875

  • Label: DLMF:28.2.E36


Digital Library of Mathematical Functions ID 28.2.E36

se 2 ⁢ n + 1 ⁡ ( z , - q ) = ( - 1 ) n ⁢ ce 2 ⁢ n + 1 ⁡ ( 1 2 ⁢ π - z , q ) , Mathieu-se 2 𝑛 1 𝑧 𝑞 superscript 1 𝑛 Mathieu-ce 2 𝑛 1 1 2 𝜋 𝑧 𝑞 {\displaystyle{\displaystyle\mathrm{se}_{2n+1}\left(z,-q\right)=(-1)^{n}% \mathrm{ce}_{2n+1}\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)}} :
  • 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
  • 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
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This page was last edited on 28 January 2024, at 11:30.
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