INFINITE PRODUCT REPRESENTATION OF SOLUTION OF INDEFINITE STURMLIOUVILLE PROBLEM

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MOSAZADEH S.

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Journal: Iranian Journal of Mathematical Chemistry Year:2013 | Volume:4 | Issue:1 Page(s): 27-40

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Information Journal Paper

Title

INFINITE PRODUCT REPRESENTATION OF SOLUTION OF INDEFINITE STURMLIOUVILLE PROBLEM

Author(s)

MOSAZADEH S. | Issue Writer Certificate

Keywords

SINGULARITIESQ2

TURNING POINTSQ2

STURM-LIOUVILLE PROBLEMQ2

NON-DEFINITE PROBLEMQ2

INFINITE PRODUCTSQ2

HADAMARD'S THEOREQ2

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.

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APA: Copy

MOSAZADEH, S.. (2013). INFINITE PRODUCT REPRESENTATION OF SOLUTION OF INDEFINITE STURMLIOUVILLE PROBLEM. IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY, 4(1), 27-40. SID. https://sid.ir/paper/205635/en

Vancouver: Copy

MOSAZADEH S.. INFINITE PRODUCT REPRESENTATION OF SOLUTION OF INDEFINITE STURMLIOUVILLE PROBLEM. IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY[Internet]. 2013;4(1):27-40. Available from: https://sid.ir/paper/205635/en

IEEE: Copy

S. MOSAZADEH, “INFINITE PRODUCT REPRESENTATION OF SOLUTION OF INDEFINITE STURMLIOUVILLE PROBLEM,” IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY, vol. 4, no. 1, pp. 27–40, 2013, [Online]. Available: https://sid.ir/paper/205635/en

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