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Formula:9029

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Digital Library of Mathematical Functions ID 28.20.E4

Se ν ⁡ ( z , q ) = ∓ i ⁢ se ν ⁡ ( ± i ⁢ z , q ) , modified-Mathieu-Se 𝜈 𝑧 𝑞 minus-or-plus imaginary-unit Mathieu-se 𝜈 plus-or-minus imaginary-unit 𝑧 𝑞 {\displaystyle{\displaystyle\mathrm{Se}_{\nu}\left(z,q\right)=\mp\mathrm{i}% \mathrm{se}_{\nu}\left(\pm\mathrm{i}z,q\right),}}


Constraint(s)

ν ≠ 0 , - 1 , … 𝜈 0 1 … {\displaystyle{\displaystyle\nu\neq 0,-1,\dots}}

Symbols List

  • se n ⁡ ( z , q ) Mathieu-se 𝑛 𝑧 𝑞 {\displaystyle{\displaystyle\mathrm{se}_{\NVar{n}}\left(\NVar{z},\NVar{q}% \right)}} :
  • i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}} : imaginary unit
  • q = h 2 𝑞 superscript ℎ 2 {\displaystyle{\displaystyle q=h^{2}}} : parameter
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
  • ν 𝜈 {\displaystyle{\displaystyle\nu}} : complex parameter
  •  Edit this on Wikidata

Resources that cite this formula

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