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On the uniform asymptotic expansion of the Legendre functions

Mathematical Physics 2009-11-10 v1 math.MP

Abstract

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.

Keywords

Cite

@article{arxiv.math-ph/0302054,
  title  = {On the uniform asymptotic expansion of the Legendre functions},
  author = {Nail R. Khusnutdinov},
  journal= {arXiv preprint arXiv:math-ph/0302054},
  year   = {2009}
}

Comments

9 pages, 4 figures