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Formula:9043

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Digital Library of Mathematical Functions ID 28.20.E18

Io n ⁑ ( z , h ) = i - n ⁒ Ms n ( 1 ) ⁑ ( z , i ⁒ h ) , modified-Mathieu-Io 𝑛 𝑧 β„Ž imaginary-unit 𝑛 modified-Mathieu-Ms 1 𝑛 𝑧 imaginary-unit β„Ž {\displaystyle{\displaystyle\mathrm{Io}_{n}\left(z,h\right)={\mathrm{i}^{-n}}{% \mathrm{Ms}^{(1)}_{n}}\left(z,\mathrm{i}h\right),}}


Constraint(s)

Symbols List

  • i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}} : imaginary unit
  • Ms n ( j ) ⁑ ( z , h ) modified-Mathieu-Ms 𝑗 𝑛 𝑧 β„Ž {\displaystyle{\displaystyle{\mathrm{Ms}^{(\NVar{j})}_{\NVar{n}}}\left(\NVar{z% },\NVar{h}\right)}} : radial Mathieu function
  • h β„Ž {\displaystyle{\displaystyle h}} : parameter
  • n 𝑛 {\displaystyle{\displaystyle n}} : integer
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
  •  Edit this on Wikidata

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