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Formula:8950

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Digital Library of Mathematical Functions ID 28.6.E23

se 1 ⁡ ( z , q ) = sin ⁡ z - 1 8 ⁢ q ⁢ sin ⁡ 3 ⁢ z + 1 128 ⁢ q 2 ⁢ ( 2 3 ⁢ sin ⁡ 5 ⁢ z + 2 ⁢ sin ⁡ 3 ⁢ z - sin ⁡ z ) - 1 1024 ⁢ q 3 ⁢ ( 1 9 ⁢ sin ⁡ 7 ⁢ z + 8 9 ⁢ sin ⁡ 5 ⁢ z - 1 3 ⁢ sin ⁡ 3 ⁢ z - 2 ⁢ sin ⁡ z ) + ⋯ , Mathieu-se 1 𝑧 𝑞 𝑧 1 8 𝑞 3 𝑧 1 128 superscript 𝑞 2 2 3 5 𝑧 2 3 𝑧 𝑧 1 1024 superscript 𝑞 3 1 9 7 𝑧 8 9 5 𝑧 1 3 3 𝑧 2 𝑧 ⋯ {\displaystyle{\displaystyle\mathrm{se}_{1}\left(z,q\right)=\sin z-\tfrac{1}{8% }q\sin 3z+\tfrac{1}{128}q^{2}\left(\tfrac{2}{3}\sin 5z+2\sin 3z-\sin z\right)-% \tfrac{1}{1024}q^{3}\left(\tfrac{1}{9}\sin 7z+\tfrac{8}{9}\sin 5z-\tfrac{1}{3}% \sin 3z-2\sin z\right)+\cdots,}}


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
  • q = h 2 𝑞 superscript ℎ 2 {\displaystyle{\displaystyle q=h^{2}}} : parameter
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
  •  Edit this on Wikidata

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This page was last edited on 28 January 2024, at 10:30.
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