Sturm-Liouville Problem in Quantum Calculus

Details Sturm-Liouville Problem in Quantum Calculus Sturm-Liouville Problem in Quantum Calculus

2006-08-04

arxiv.org/abs/math-ph/0608015v1

Physics

Mathematical Physics

16 pages

Scientific paper

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.

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