Some properties of Legendre functions
Published online by Cambridge University Press: 24 October 2008
Extract
Nicholson (3) stated that the Legendre functions of the second kind, Qn(x), are orthogonal between − 1 and 1. This is incorrect in general, and one purpose of this paper is to give the correct value of
when m ╪ n. Nicholson's value of the integral when m = n, namely,
is correct.
- Type
- Research Notes
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 49 , Issue 1 , January 1953 , pp. 162 - 164
- Copyright
- Copyright © Cambridge Philosophical Society 1953
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