Differential polynomials generated by solutions of \(f^{{\prime}{\prime}}+a(z)f = F\) (Q442477)
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scientific article; zbMATH DE number 6062843
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Differential polynomials generated by solutions of \(f^{{\prime}{\prime}}+a(z)f = F\) |
scientific article; zbMATH DE number 6062843 |
Statements
Differential polynomials generated by solutions of \(f^{{\prime}{\prime}}+a(z)f = F\) (English)
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1 August 2012
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nonhomogeneous linear differential equation
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meromorphic function
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differential polynomial
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small function
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The author considers the value distribution of solutions of the equation NEWLINE\[NEWLINE f^{''}+A(z)f=F \tag{*}NEWLINE\]NEWLINE under certain assumptions and obtains that the order of solutions of equation (*) is \(\infty\). Moreover, the author also studies the relation between small functions and differential polynomials generated by the solutions of equation (*).
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