Formula:9062

Digital Library of Mathematical Functions ID 28.22.E4

${\displaystyle{\displaystyle{\mathrm{Ms}^{(2)}_{m}}\left(z,h\right)=\sqrt{\frac{2}{\pi}}\dfrac{1}{g_{\mathit{o},m}(h)\mathrm{se}_{m}'\left(0,h^{2}\right)}\*\left(-f_{\mathit{o},m}(h)\mathrm{Se}_{m}\left(z,h^{2}\right)-\dfrac{2}{\pi S_{m}(h^{2})}\mathrm{Ge}_{m}\left(z,h^{2}\right)\right).}}$

Symbols List

• ${\displaystyle{\displaystyle\mathrm{se}_{\NVar{n}}\left(\NVar{z},\NVar{q}\right)}}$:
• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\mathrm{Ge}_{\NVar{n}}\left(\NVar{z},\NVar{q}\right)}}$: modified Mathieu function
• ${\displaystyle{\displaystyle{\mathrm{Ms}^{(\NVar{j})}_{\NVar{n}}}\left(\NVar{z},\NVar{h}\right)}}$: radial Mathieu function
• ${\displaystyle{\displaystyle\mathrm{Se}_{\NVar{\nu}}\left(\NVar{z},\NVar{q}\right)}}$: modified Mathieu function
• ${\displaystyle{\displaystyle m}}$: integer
• ${\displaystyle{\displaystyle h}}$: parameter
• ${\displaystyle{\displaystyle z}}$: complex variable
• ${\displaystyle{\displaystyle g_{\mathit{e},n}(h)}}$: joining factors
• ${\displaystyle{\displaystyle f_{\mathit{e},n}(h)}}$: joining factors
• ${\displaystyle{\displaystyle S_{n}(q)}}$: factor
 

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