Error Bounds for Asymptotic Approximations of Zeros of Transcendental Functions
From MaRDI portal
Publication:5597936
DOI10.1137/0501015zbMath0199.49902OpenAlexW2039211494MaRDI QIDQ5597936
Publication date: 1970
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0501015
Related Items (29)
Lower Bounds for the Zeros of Bessel Functions ⋮ Error bounds for mcmahon's asympotic approximations of the zeros of the bessel functions ⋮ Singular asymptotics for the Clarkson-McLeod solutions of the fourth Painlevé equation ⋮ Uniform Asymptotic Expansions for the Discrete Chebyshev Polynomials ⋮ UNIFORM ASYMPTOTIC APPROXIMATIONS FOR THE MEIXNER–SOBOLEV POLYNOMIALS ⋮ Error Bounds for Asymptotic Approximations of Zeros of Hankel Functions Occurring in Diffraction Problems ⋮ ``Best possible upper bounds for the first two positive zeros of the Bessel function \(J_ \nu (x)\): The infinite case ⋮ Studies on the zeros of Bessel functions and methods for their computation ⋮ Asymptotics of the deformed higher order Airy-kernel determinants and applications ⋮ Sugli zeri delle funzioni di Bessel ⋮ Asymptotic Behavior of the Pollaczek Polynomials and Their Zeros ⋮ Plancherel-Rotach asymptotic expansion for some polynomials from indeterminate moment problems ⋮ Volume estimates for sections of certain convex bodies ⋮ 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 ⋮ Inequalities for Bessel functions ⋮ Asymptotics of linear recurrences ⋮ Asymptotic approximations of Jacobi functions and their zeros with error bounds ⋮ UNIFORM ASYMPTOTICS OF A SYSTEM OF SZEGÖ CLASS POLYNOMIALS VIA THE RIEMANN–HILBERT APPROACH ⋮ Upper bounds for the first zeros of Bessel functions ⋮ Asymptotic expansions of zeros for Krawtchouk polynomials with error bounds ⋮ Asymptotic formulas for the zeros of the Meixner polynomials ⋮ Asymptotic approximations of the continuous Hahn polynomials and their zeros ⋮ ``Best possible upper bounds for the first positive zeros of Bessel functions -- the finite part ⋮ Elementary approximations for zeros of Bessel functions ⋮ Proofs of Two Conjectures on the Real Zeros of the Cylinder and Airy Functions ⋮ Monotonicity and concavity properties of zeros of Bessel functions ⋮ On the evolutionary coexistence of parasite strains ⋮ “Best possible” upper and lower bounds for the zeros of the Bessel function 𝐽_{𝜈}(𝑥)
This page was built for publication: Error Bounds for Asymptotic Approximations of Zeros of Transcendental Functions
