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- W2068605004 abstract "We define the function jνκ for all real κ > 0 as follows: for κ = 1, 2, … the jνκ denotes the kth positive zero of the Bessel function Jν(z) of first kind and for k − 1 < κ < k, jνκ denotes the kth positive zero of the cylinder Bessel function Cν(z) = cos α Jν(z) − sin α Yν(Z) with α = (k − ν)π (see [2]), where Yν(x) is the Bessel function of second kind. We introduce the function ι(x) for x > − 1, l(x)=limκ→∞jκ,x,κκ. and we prove, among other things, the inequality jνκ < κι(νκ). Moreover, we find the first three terms of the asymptotic expansion of ι(x), for large values of x and other properties of this function." @default.
- W2068605004 created "2016-06-24" @default.
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- W2068605004 date "1984-02-01" @default.
- W2068605004 modified "2023-10-06" @default.
- W2068605004 title "An asymptotic relation for the zeros of Bessel functions" @default.
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- W2068605004 doi "https://doi.org/10.1016/0022-247x(84)90265-8" @default.
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