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Formula:9067

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Digital Library of Mathematical Functions ID 28.22.E9

f e , m ⁢ ( h ) = - π / 2 ⁢ g e , m ⁢ ( h ) ⁢ Mc m ( 2 ) ⁡ ( 0 , h ) , subscript 𝑓 𝑒 𝑚 ℎ 𝜋 2 subscript 𝑔 𝑒 𝑚 ℎ modified-Mathieu-Mc 2 𝑚 0 ℎ {\displaystyle{\displaystyle f_{\mathit{e},m}(h)=-\sqrt{\ifrac{\pi}{2}}g_{% \mathit{e},m}(h){\mathrm{Mc}^{(2)}_{m}}\left(0,h\right),}}


Constraint(s)

Symbols List

  • π {\displaystyle{\displaystyle\pi}} : the ratio of the circumference of a circle to its diameter
  • Mc n ( j ) ⁡ ( z , h ) modified-Mathieu-Mc 𝑗 𝑛 𝑧 ℎ {\displaystyle{\displaystyle{\mathrm{Mc}^{(\NVar{j})}_{\NVar{n}}}\left(\NVar{z% },\NVar{h}\right)}} : radial Mathieu function
  • m 𝑚 {\displaystyle{\displaystyle m}} : integer
  • h ℎ {\displaystyle{\displaystyle h}} : parameter
  • g e , n ⁢ ( h ) subscript 𝑔 𝑒 𝑛 ℎ {\displaystyle{\displaystyle g_{\mathit{e},n}(h)}} : joining factors
  • f e , n ⁢ ( h ) subscript 𝑓 𝑒 𝑛 ℎ {\displaystyle{\displaystyle f_{\mathit{e},n}(h)}} : joining factors
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