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Formula:9074

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Digital Library of Mathematical Functions ID 28.22.E14

M ν ( 2 ) ⁡ ( z , h ) = cot ⁡ ( ν ⁢ π ) ⁢ M ν ( 1 ) ⁡ ( z , h ) - 1 sin ⁡ ( ν ⁢ π ) ⁢ M - ν ( 1 ) ⁡ ( z , h ) . modified-Mathieu-M 2 𝜈 𝑧 ℎ 𝜈 𝜋 modified-Mathieu-M 1 𝜈 𝑧 ℎ 1 𝜈 𝜋 modified-Mathieu-M 1 𝜈 𝑧 ℎ {\displaystyle{\displaystyle{\mathrm{M}^{(2)}_{\nu}}\left(z,h\right)=\cot\left% (\nu\pi\right){\mathrm{M}^{(1)}_{\nu}}\left(z,h\right)-\frac{1}{\sin\left(\nu% \pi\right)}{\mathrm{M}^{(1)}_{-\nu}}\left(z,h\right).}}


Constraint(s)

Symbols List

  • π {\displaystyle{\displaystyle\pi}} : the ratio of the circumference of a circle to its diameter
  • cot ⁡ z 𝑧 {\displaystyle{\displaystyle\cot\NVar{z}}} : cotangent function
  • 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)}} :
  • sin ⁡ z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}} : sine function
  • h ℎ {\displaystyle{\displaystyle h}} : parameter
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
  • ν 𝜈 {\displaystyle{\displaystyle\nu}} : complex parameter
  •  Edit this on Wikidata

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