Authors | Seyfollah Mosazadeh |
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Journal | Iranian Journal of Mathematical Chemistry |

Presented by | University of Kashan |

Paper Type | Full Paper |

Published At | 2013 |

Journal Grade | Scientific - research |

Journal Type | Typographic |

Journal Country | Iran, Islamic Republic Of |

Journal Index | ISI, ISC |

## Abstract

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