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arxiv: math-ph/0302054 · v1 · submitted 2003-02-22 · 🧮 math-ph · math.MP

On the uniform asymptotic expansion of the Legendre functions

classification 🧮 math-ph math.MP
keywords expansionuniformfunctionslegendreapproachasymptoticbesselcoefficients
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An uniform expansion of the Legendre functions of large indices are considered by using the WKB approach. We obtain the recurrent formula for the coefficients of uniform expansion and compare them with the uniform expansion of the Bessel function.

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