On the canonical solution of indefinite problem with \(m\) turning points of even order (Q884355)

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scientific article; zbMATH DE number 5161758
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On the canonical solution of indefinite problem with \(m\) turning points of even order
scientific article; zbMATH DE number 5161758

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    On the canonical solution of indefinite problem with \(m\) turning points of even order (English)
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    6 June 2007
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    An infinite product representation is provided for the characteristic function \(C(b,\lambda)\) of the boundary value problem \[ y''+(\lambda p(x)-q(x))y=0,\; x\in (0,b), \] \[ y'(0)=y(b)=0, \] where \(p(x)\) has a finite number of zeros on \((0,b)\).
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    Sturm-Liouville equation
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    turning points
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    infinite product
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