``Best possible upper bounds for the first positive zeros of Bessel functions -- the finite part

DOI10.1016/S0377-0427(96)00065-9zbMath0866.65014MaRDI QIDQ2564268

Lee Lorch, Riccardo Uberti

Publication date: 16 March 1997

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

best possible upper boundspositive zeros 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 (8)

``Best possible upper bounds for the first two positive zeros of the Bessel function \(J_ \nu (x)\): The infinite case ⋮ On the minimization of Dirichlet eigenvalues of the Laplace operator ⋮ Bounds on differences of adjacent zeros of Bessel functions and iterative relations between consecutive zeros ⋮ On the Largest Critical Value of $T_n^(k)$ ⋮ 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 ⋮ Uniform Bounds for Bessel Functions ⋮ “Best possible” upper and lower bounds for the zeros of the Bessel function 𝐽_{𝜈}(𝑥)

Cites Work

• Monotonicity and concavity properties of zeros of Bessel functions
• ``Best possible upper bounds for the first two positive zeros of the Bessel function \(J_ \nu (x)\): The infinite case
• Error Bounds for Asymptotic Approximations of Zeros of Transcendental Functions
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