Reciprocal Power Sums of Differences of Zeros of Special Functions

DOI10.1137/0514028zbMath0517.33010OpenAlexW2070054285MaRDI QIDQ3665437

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1137/0514028

zbMATH Keywords

sum rules confluent hypergeometric functions zeros of Bessel functions

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Other special functions (33E99)

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Stieltjes sums for zeros of orthogonal polynomials ⋮ Unification of Stieltjes‐Calogero type relations for the zeros of classical orthogonal polynomials ⋮ Electrostatics and zeros of Bessel functions ⋮ On the paper ``On an identity for the zeros of Bessel functions by Baricz et al. ⋮ Partition functions of Polychronakos like spin chains associated with polarized spin reversal operators ⋮ Inozemtsev's hyperbolic spin model and its related spin chain ⋮ Difference equations and quantized discriminants for \(q\)-orthogonal polynomials ⋮ Properties of the zeros of confluent hypergeometric functions ⋮ On an identity for zeros of Bessel functions ⋮ A physicist’s guide to explicit summation formulas involving zeros of Bessel functions and related spectral sums ⋮ On extreme zeros of classical orthogonal polynomials ⋮ Identities for the zeros of entire functions of finite rank and spectral theory ⋮ On the zeros of Bessel polynomials ⋮ Asymptotic distribution of zeros of polynomials satisfying difference equations ⋮ Properties of zeros of orthogonal polynomials and related functions ⋮ Supersymmetric analogue of \(\mathrm{BC}_{N}\) type rational integrable models with polarized spin reversal operators

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