Lower Bounds for the Zeros of Bessel Functions
- 1 May 1977
- journal article
- Published by JSTOR in Proceedings of the American Mathematical Society
- Vol. 64 (1) , 101-103
- https://doi.org/10.2307/2040991
Abstract
Let denote the nth positive zero of <!-- MATH ${J_p},p \geqslant 0$ --> . Then <!-- MATH \begin{displaymath} {j_{p,n}} \geqslant {( {j_{0,n}^2 + {p^2}} )^{1/2}}. \end{displaymath} -->
Keywords
This publication has 5 references indexed in Scilit:
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- Bounds for Zeros of Some Special FunctionsProceedings of the American Mathematical Society, 1970
- Concerning the Zeros of Some Functions Related to Bessel FunctionsJournal of Mathematical Physics, 1969
- The asymptotic expansion of bessel functions of large orderPhilosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 1954
- Some Bessel Equations and Their Applications to Guide and Cavity TheoryJournal of Mathematics and Physics, 1948