On the uniform asymptotic expansion of the Legendre functions

Details On the uniform asymptotic expansion of the Legendre functions On the uniform asymptotic expansion of the Legendre functions

2003-02-22

arxiv.org/abs/math-ph/0302054v1

J. Math. Phys. V.44, 1445-1451(2003)

Physics

Mathematical Physics

9 pages, 4 figures

Scientific paper

10.1063/1.1559414

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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