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The $ \nu $-zeros of $ J\sb{-\nu }(x)$

Authors: S. Conde and S. L. Kalla
Journal: Math. Comp. 33 (1979), 423-426
MSC: Primary 65D20
MathSciNet review: 514838
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Abstract: We compute the positive $ \nu$-zeros of $ {J_{ - \nu}}(x)$, regarded as a function of $ \nu$. $ {J_\nu}(x)$ stands for the Bessel function of first kind of order $ \nu$. Some related inequalities are verified and algorithms the computer uses are described briefly.

References [Enhancements On Off] (What's this?)

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  • [2] I. S. GRADSTEHYN & I. M. RYZHIK, Tables of Integrals, Series and Products, 4th ed., Academic Press, New York, 1965.
  • [3] N. N. LEBEDEV, Special Functions and Their Applications, Prentice-Hall, Englewood Cliffs, N.J., 1965. MR 0174795 (30:4988)
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Keywords: $ \nu$-zeros, series, Bessel functions, asymptotic formula, numerical
Article copyright: © Copyright 1979 American Mathematical Society

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