Formula:3905

Digital Library of Mathematical Functions ID 10.18.E14

${\displaystyle{\displaystyle w^{\prime\prime}+\left(1+\frac{\frac{1}{4}-\nu^{2}}{x^{2}}\right)w=\frac{4}{\pi^{2}w^{3}},}}$

Constraint(s)

${\displaystyle{\displaystyle w=x^{\frac{1}{2}}M_{\nu}\left(x\right)}}$

Symbols List

• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle M_{\NVar{\nu}}\left(\NVar{x}\right)}}$: modulus of Bessel functions
• ${\displaystyle{\displaystyle x}}$: real variable
• ${\displaystyle{\displaystyle\nu}}$: complex parameter
 

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