Rational solutions of a nonlinear functional equation related to Mahler's equation (Q1916839)
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scientific article; zbMATH DE number 902556
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Rational solutions of a nonlinear functional equation related to Mahler's equation |
scientific article; zbMATH DE number 902556 |
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Rational solutions of a nonlinear functional equation related to Mahler's equation (English)
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14 July 1996
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Motivated by Mahler's functional equation \(G(z^2)= G^2 (z)+ \lambda\) the author studies the nonconstant rational solutions of \[ F(z^2)= AF(z)+ B+ C/ F(z), \] where \(A\), \(B\) and \(C\) are given constants and \(F\) is the unknown rational function to be found. The main theorem gives a way to construct all possible solutions.
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nonlinear functional equation
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Mahler's functional equation
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rational solutions
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0.92851084
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0.89301664
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0.89164436
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0.88959444
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0.8861428
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0.88531274
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0.8853065
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