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Formula:9028

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Digital Library of Mathematical Functions ID 28.20.E3

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


Constraint(s)

ν ≠ - 1 , - 2 , … 𝜈 1 2 … {\displaystyle{\displaystyle\nu\neq-1,-2,\dots}}

Symbols List

  • ce n ⁡ ( z , q ) Mathieu-ce 𝑛 𝑧 𝑞 {\displaystyle{\displaystyle\mathrm{ce}_{\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

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