Evaluation of complex zeros of bessel functions jν(z) and in(z) and their derivatives

DOI10.1016/0041-5553(84)90169-1zbMath0582.65012OpenAlexW2053699637MaRDI QIDQ3704799

S. L. Skorokhodov, M. K. Kerimov

Publication date: 1984

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(84)90169-1

zbMATH Keywords

Newton iterationasymptotic formuladerivative of Bessel functionscomplex zero of Bessel functions

Mathematics Subject Classification ID

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)

Related Items (6)

Studies on the zeros of Bessel functions and methods for their computation ⋮ Unnamed Item ⋮ 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 ⋮ Application of Krein's series to calculation of sums containing zeros of the Bessel functions

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