Chandrasekhar, S.
(1953)
*The roots of J _{-(1+½)} ( λn) J_{1+½} ( λ)-J_{1+½}(λn) J_{-(1+½)} (λ ) = 0*
Mathematical Proceedings of the Cambridge Philosophical Society, 49
(3).
pp. 446-448.
ISSN 0305-0041

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## Abstract

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 J_{1+½}(λx)=J_{-½}(λη)J_{-½}(λx)-J_{-½}(λη)J_{-½}(λx) where λ is a root of the equation J_{-(1+½)} ( λn) J_{1+½} ( λ)-J_{1+½}(λη) J_{-(1+½)} (λ) = 0

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ID Code: | 91561 |

Deposited On: | 22 May 2012 12:41 |

Last Modified: | 30 Jun 2012 13:22 |

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