Inequalities and Approximations for Zeros of Bessel Functions of Small Order

DOI10.1137/0514029zbMath0514.33006OpenAlexW2003327214MaRDI QIDQ3660087

Martin E. Muldoon, Andrea Laforgia

Publication date: 1983

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0514029

zbMATH Keywords

zeros of Bessel functions

Mathematics Subject Classification ID

Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (21)

Additional monotonicity results for the zeros of Bessel functions ⋮ A reflection result for harmonic functions which vanish on a cylindrical surface ⋮ Some consequences of a lower bound for the second derivative of the zeros of Bessel functions ⋮ On the variation with respect to a parameter of zeros of Bessel and q- Bessel functions ⋮ Differential inequalities for the positive zeros of Bessel functions ⋮ Global maximizers for adjoint Fourier restriction inequalities on low dimensional spheres ⋮ Harmonic functions which vanish on a cylindrical surface ⋮ 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. III: Some new works on monotonicity, convexity, and other properties ⋮ Studies on the zeros of Bessel functions and methods for their computation. II: Monotonicity, convexity, concavity, and other properties ⋮ Further monotonicity and convexity properties of the zeros of cylinder functions ⋮ Inequalities for Bessel functions ⋮ A differential inequality for the positive zeros of Bessel functions ⋮ A differential equation for the zeros of bessel functions ⋮ Non-positivity of the semigroup generated by the Dirichlet-to-Neumann operator ⋮ Upper bounds for the first zeros of Bessel functions ⋮ Monotonicity properties of zeros of generalized Airy functions ⋮ On the zeros ofJ_ν″′(x) ⋮ Elementary approximations for zeros of Bessel functions ⋮ Monotonicity and concavity properties of zeros of Bessel functions ⋮ An Inequality Related the Zeros of Two Ordinary Bessel Functions

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