Mathematical Proceedings of the Cambridge Philosophical Society

Research Article

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

B. D. Sleemana1 p1

a1 Department of Mathematics, Battersea College of Technology, London, S.W. 11

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.

(Received October 11 1965)


p1 Present address: Department of Mathematics, Queen's College, Dundee.