Sturm-Liouville Problem in Quantum Calculus
数学物理
2007-05-23 v1 math.MP
摘要
This paper aims to study the q-analogue of the Sturm Liouville problem and to give an asymptotic behaviour at infinity for its solution '. Additionally, we establish an asymptotic expansion of the q-Bessel function for $\alpha >-{1/2}. We are not in situation to claim that our results are new but they have the advantage to show that the method used by Agranovich and Marchenko remain true.
引用
@article{arxiv.math-ph/0608015,
title = {Sturm-Liouville Problem in Quantum Calculus},
author = {Ahmed Fitouhi and Akram Nemri and Meniar Haddad},
journal= {arXiv preprint arXiv:math-ph/0608015},
year = {2007}
}
备注
16 pages