Calculation of the multiple zeros of the derivatives of the cylindrical bessel functions Jv(z) and yv(z)
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Publication:3745155
DOI10.1016/0041-5553(85)90020-5zbMath0606.65011OpenAlexW2094088389MaRDI QIDQ3745155
M. K. Kerimov, S. L. Skorokhodov
Publication date: 1985
Published in: USSR Computational Mathematics and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0041-5553(85)90020-5
Computation of special functions and constants, construction of tables (65D20) Numerical computation of solutions to single equations (65H05) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)
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Studies on the zeros of Bessel functions and methods for their computation ⋮ Differential inequalities for the positive zeros of Bessel functions ⋮ A result on the imaginary zeros of \(J_{\nu}(z)\) ⋮ Ratios of Bessel functions and roots of \(\alpha J_v(x)+xJ_v'(x)=0\) ⋮ Studies on the zeroes of Bessel functions and methods for their computation. IV: Inequalities, estimates, expansions, etc., for zeros of Bessel functions ⋮ Studies on the zeros of Bessel functions and methods for their computation. II: Monotonicity, convexity, concavity, and other properties ⋮ ZEBEC: A mathematical software package for computing simple zeros of Bessel functions of real order and complex argument
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