On the completeness of the system of weber functions
Transactions Issue Mathematics, Azerbaijan National Academy of Sciences, vol.41, no.4, pp.90-94, 2021 (Scopus)
- Publication Type: Article / Article
- Volume: 41 Issue: 4
- Publication Date: 2021
- Journal Name: Transactions Issue Mathematics, Azerbaijan National Academy of Sciences
- Journal Indexes: Scopus
- Page Numbers: pp.90-94
- Keywords: Completeness of a system of functions, Eigenvalues, Perturbed harmonic oscillator, Weber function
- Open Archive Collection: Article
- Azerbaijan State University of Economics (UNEC) Affiliated: Yes
Abstract
(√ ) Abstract. Weber functionsD λn−12x, n= 0,1,2, …, are considered, where λn is the eigenvalue of 2 the perturbed harmonic oscillator on the semi-axis with finite potential and with the Dirichlet boundary { condition at zero. The completeness in the space L2 (0, ∞) of a system of functions is proved. D λn−1 2 (√ 2x )}∞ n=0.