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Funciones de Bessel

Funciones de Bessel

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por lo que, en est.e caso, la solución general <strong>de</strong> (22) no es <strong>de</strong> la forma (24).<br />

Se <strong>de</strong>fine la función <strong>de</strong> <strong>Bessel</strong> modificada <strong>de</strong> segunda clase <strong>de</strong> or<strong>de</strong>n l/<br />

por<br />

(26)<br />

(n=O,1,2,· .. )<br />

Para todo valor <strong>de</strong> i/, la solución general <strong>de</strong> la ecuación <strong>de</strong> <strong>Bessel</strong> modificada,<br />

pue<strong>de</strong> escribirse como<br />

(27)<br />

Las funciones II/(x) y IC(x) satisfacen las siguientes fórmulas <strong>de</strong> recu,<br />

rrencia:<br />

~II/(x) + I~(x) = II/-1 (x)<br />

X<br />

9

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