Orthogonal polynomials associated with Coulomb wave functions

DOI10.1016/j.jmaa.2014.04.049zbMath1295.42009arXiv1403.8083OpenAlexW1990262501MaRDI QIDQ2252466

Pavel Šťovíček, František Štampach

Publication date: 17 July 2014

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.8083

zbMATH Keywords

orthogonal polynomialsLommel polynomialsmeasure of orthogonalityCoulomb wave functionspectral zeta function

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (7)

Nevanlinna extremal measures for polynomials related to \(q^{-1}\)-Fibonacci polynomials ⋮ The Nevanlinna parametrization for \(q\)-Lommel polynomials in the indeterminate case ⋮ Zeros of a cross-product of the Coulomb wave and Tricomi hypergeometric functions ⋮ Complementary Romanovski-Routh polynomials: From orthogonal polynomials on the unit circle to Coulomb wave functions ⋮ The Hurwitz-type theorem for the regular Coulomb wave function via Hankel determinants ⋮ Complementary Romanovski-Routh polynomials, orthogonal polynomials on the unit circle, and extended Coulomb wave functions ⋮ Turán type inequalities for regular Coulomb wave functions

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