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DLMF:28.20.E13

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Formula:9038
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MaRDI QIDQ9038

  • Label: DLMF:28.20.E13


Digital Library of Mathematical Functions ID 28.20.E13

M ν ( 3 ) ⁡ ( z , h ) = M ν ( 1 ) ⁡ ( z , h ) + i ⁢ M ν ( 2 ) ⁡ ( z , h ) , modified-Mathieu-M 3 𝜈 𝑧 ℎ modified-Mathieu-M 1 𝜈 𝑧 ℎ imaginary-unit modified-Mathieu-M 2 𝜈 𝑧 ℎ {\displaystyle{\displaystyle{\mathrm{M}^{(3)}_{\nu}}\left(z,h\right)={\mathrm{% M}^{(1)}_{\nu}}\left(z,h\right)+\mathrm{i}{\mathrm{M}^{(2)}_{\nu}}\left(z,h% \right),}}


Constraint(s)

Symbols List

  • i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}} : imaginary unit
  • M ν ( j ) ⁡ ( z , h ) modified-Mathieu-M 𝑗 𝜈 𝑧 ℎ {\displaystyle{\displaystyle{\mathrm{M}^{(\NVar{j})}_{\NVar{\nu}}}\left(\NVar{% z},\NVar{h}\right)}} :
  • h ℎ {\displaystyle{\displaystyle h}} : parameter
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
  • ν 𝜈 {\displaystyle{\displaystyle\nu}} : complex parameter
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