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The expansion of Lamé functions into series of associated Legendre functions of the second kind

  • B. D. Sleeman (a1)
Abstract

Introduction. In this paper, a study is made of the solutions of Lamé's differential equation as series of associated Legendre functions. The particular feature studied is the representation of the second solution corresponding to the case when the first solution is a Lamé polynomial.

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(5)F. M. Arscott Integral equations and relations for Lame functions. Quart. J. Math. Oxford Ser.2, 15 (1964), 103115.

(8)F. W. Schäfke Einführung in der Theorie der speziellen Functionen der Mathematischen Physih (Springer, 1963).

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Mathematical Proceedings of the Cambridge Philosophical Society
  • ISSN: 0305-0041
  • EISSN: 1469-8064
  • URL: /core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society
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