An approximation for the zeros of Bessel functions

DOI10.1007/BF01385801zbMath0760.65020OpenAlexW2086630364MaRDI QIDQ1183040

Árpád Elbert

Publication date: 28 June 1992

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133570

zbMATH Keywords

numerical examplesasymptotic approximationBessel functionzeros of a general cylinder function

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 (8)

Studies on the zeros of Bessel functions and methods for their computation ⋮ Continuous ranking of zeros of special functions ⋮ Bounds on differences of adjacent zeros of Bessel functions and iterative relations between consecutive zeros ⋮ Studies on the zeroes of Bessel functions and methods for their computation. IV: Inequalities, estimates, expansions, etc., for zeros of Bessel functions ⋮ Some recent results on the zeros of Bessel functions and orthogonal polynomials ⋮ A new identity for the infinite product of zeros of Bessel functions of the first kind or their derivatives ⋮ Monotonic sequences related to zeros of Bessel functions ⋮ “Best possible” upper and lower bounds for the zeros of the Bessel function 𝐽_{𝜈}(𝑥)

Cites Work

• An asymptotic relation for the zeros of Bessel functions
• On the Convexity of the Zeros of Bessel Functions
• Additional monotonicity properties of the zeros of Bessel functions
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