2026-06-27T23:05:19Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/240072023-08-05T21:49:30Zcom_20.500.14352_14col_20.500.14352_15
Docta Complutense
author
Garcia Ferrero, María Ángeles
author
Gómez-Ullate Otaiza, David
2023-06-18T06:44:49Z
2023-06-18T06:44:49Z
2015-04
0377-9017
10.1007/s11005-015-0751-4
https://hdl.handle.net/20.500.14352/24007
http://dx.doi.org/10.1007/s11005-015-0751-4
http://link.springer.comhttp://arxiv.org/abs/1408.0883
The work of Adler provides necessary and sufficient conditions for the Wronskian of a given sequence of eigenfunctions of Schrodinger's equation to have constant sign in its domain of definition. We extend this result by giving explicit formulas for the number of real zeros of the Wronskian of an arbitrary sequence of eigenfunctions. Our results apply in particular to Wronskians of classical orthogonal polynomials, thus generalizing classical results by Karlin and SzegA. Our formulas hold under very mild conditions that are believed to hold for generic values of the parameters. In the Hermite case, our results allow to prove some conjectures recently formulated by Felder et al.
eng
Oscillation Theorems for the Wronskian of an Arbitrary Sequence of Eigenfunctions of Schrodinger's Equation
journal article
URL
https://docta.ucm.es/bitstreams/b9c3bd5d-b6a2-4eed-b744-49e687d84602/download
File
MD5
3c5e8d6fb7f7cd2121adf95c132f65a8
254089
application/pdf
gomez-ullate39preprint.pdf