Sturm-Liouville Problem in Quantum Calculus

Sturm-Liouville Problem in Quantum Calculus

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 \(j_\alpha\) for $\alpha >-{1/2}. We are not in situation to claim that our r...

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Veröffentlicht in:arXiv.org 2006-08
Hauptverfasser: Fitouhi, Ahmed, Nemri, Akram, Haddad, Meniar
Format: Artikel
Sprache:eng
Schlagworte:
Asymptotic properties
Asymptotic series
Bessel functions
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Zusammenfassung: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 \(j_\alpha\) 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.
ISSN:2331-8422