Linear \(q\)-difference equations (Q2475496)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Linear \(q\)-difference equations |
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Linear \(q\)-difference equations (English)
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11 March 2008
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A linear \(q\)-difference equation of order \(n\) is studied. It is proved that such an equation has a fundamental set of \(n\)-linearly independent solutions and a \(q\)-type Wronskian is derived. Fundamental systems of solutions are constructed for the \(n\)-th order linear \(q\)-difference equation with constant coefficients. Examples illustrating the results are presented.
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linear \(q\)-difference equation
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fundamental systems of solutions
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