Entire functions of finite order as solutions to certain complex linear differential equations

DOI10.1090/S0002-9939-2011-11055-4zbMath1282.30019MaRDI QIDQ2845048

Nicolae Anghel

Publication date: 22 August 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Schrödinger operatorentire functionpolynomial coefficientsfinite ordercomplex differential equationoscillation of zeros

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Entire and meromorphic solutions to ordinary differential equations in the complex domain (34M05) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items (3)

A bound for zeros of solutions to a higher order non-homogeneous ODE with polynomial coefficients ⋮ Localization and perturbation of complex zeros of solutions to second order differential equations with polynomial coefficients. A survey ⋮ Identities for the zeros of entire functions of finite rank and spectral theory

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Zeros of eigenfunctions of some anharmonic oscillators
• High energy eigenfunctions of one-dimensional Schrödinger operators with polynomial potentials
• Nevanlinna theory and complex differential equations
• Quasi-exactly-solvable problems and sl(2) algebra
• On the simpleness of zeros of Stokes multipliers
• Lineare Differentialgleichungen mit gegebener ganzer Lösung
• Über die Lösungen linearer Differentialgleichungen mit ganzen Funktionen als Koeffizienten
• Finding All Solutions to a System of Polynomial Equations
• On bank-laine sequences
• Identities for sums of powers of roots of entire functions
• Stieltjes–Calogero–Gil’ relations associated to entire functions of finite order

This page was built for publication: Entire functions of finite order as solutions to certain complex linear differential equations