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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Lower bounds for the zeros of Bessel functions


Author: Roger C. McCann
Journal: Proc. Amer. Math. Soc. 64 (1977), 101-103
MSC: Primary 33A40
DOI: https://doi.org/10.1090/S0002-9939-1977-0442316-6
MathSciNet review: 0442316
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Abstract: Let $ {j_{p,n}}$ denote the nth positive zero of $ {J_p},p \geqslant 0$. Then

$\displaystyle {j_{p,n}} \geqslant {( {j_{0,n}^2 + {p^2}} )^{1/2}}.$


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DOI: https://doi.org/10.1090/S0002-9939-1977-0442316-6
Article copyright: © Copyright 1977 American Mathematical Society