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Zbl 0588.33005
Gottlieb, H.P.W.
On the exceptional zeros of cross-products of derivatives of spherical Bessel functions. (English)
[J] Z. Angew. Math. Phys. 36, 491-494 (1985). ISSN 0044-2275; ISSN 1420-9039/e

The author obtains an asymptotic expansion for the lowest exceptional root of the equation $$ j'\!\sb{\nu}(x)y'\!\sb{\nu}(\rho x)- j'\!\sb{\nu}(\rho x)y'\!\sb{\nu}(x) $$ where $'=d/dx$ and $j\sb{\nu}$ and $y\sb{\nu}$ denote the spherical Bessel functions of the first and secind kind, respectively. The result is valid for $\rho$ $\to 1$, and it can be thought of as complementing that given by McMahon which is useful for larger zeros.
[A.Laforgia]

MSC 2000:: *33C10 Cylinder functions, etc.
41A60 Asymptotic problems in approximation

Keywords: zeros of Bessel functions; spherical Bessel functions

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