The roots of J−(l + ½) (λη)Jl + ½ (λ) − Jl + ½ (λη) J−(l + ½)(λ) = 0
Published online by Cambridge University Press: 24 October 2008
Extract
Spherical Bessel functions which vanish at x = 1 and x = η (where η is an assigned positive constant less than 1) occur in the solution of many problems in applied mathematics. Such functions can be expressed in terms of Bessel's functions of the half odd integral orders in the form
where λ is a root of the equation
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- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 49 , Issue 3 , July 1953 , pp. 446 - 448
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- Copyright © Cambridge Philosophical Society 1953
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