MOSAZADEH, S. (2013). Infinite product representation of solution of indefinite SturmLiouville problem. Iranian Journal of Mathematical Chemistry, 4(1), 27-40. doi: 10.22052/ijmc.2013.5280

S. MOSAZADEH. "Infinite product representation of solution of indefinite SturmLiouville problem". Iranian Journal of Mathematical Chemistry, 4, 1, 2013, 27-40. doi: 10.22052/ijmc.2013.5280

MOSAZADEH, S. (2013). 'Infinite product representation of solution of indefinite SturmLiouville problem', Iranian Journal of Mathematical Chemistry, 4(1), pp. 27-40. doi: 10.22052/ijmc.2013.5280

MOSAZADEH, S. Infinite product representation of solution of indefinite SturmLiouville problem. Iranian Journal of Mathematical Chemistry, 2013; 4(1): 27-40. doi: 10.22052/ijmc.2013.5280

Infinite product representation of solution of indefinite SturmLiouville problem

In this paper, we investigate infinite product representation of the solution of a Sturm- Liouville equation with an indefinite weight function which has two zeros and/or singularities in a finite interval. First, by using of the asymptotic estimates provided in [W. Eberhard, G. Freiling, K. Wilcken-Stoeber, Indefinite eigenvalue problems with several singular points and turning points, Math. Nachr. 229, 51-71 (2001)] for a special fundamental system of the solutions of Sturm-Liouville equation, we obtain the asymptotic behavior of it’s solutions and eigenvalues, then we obtain the infinite product representation of solution of the equation.