Limits of iterations of complex maps and hypergeometric functions (Q664879)
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scientific article; zbMATH DE number 6011492
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Limits of iterations of complex maps and hypergeometric functions |
scientific article; zbMATH DE number 6011492 |
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Limits of iterations of complex maps and hypergeometric functions (English)
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3 March 2012
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The paper is concerned with the limit of the iteration of a complex map in a domain. For two types of maps, the authors show that each iteration converges for any point in the domain and that this limit is expressed by the hypergeometric function. These are analogs of the expression of the arithmetic-geometric mean by the Gauss hypergeometric function.
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limit of iteration
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hypergeometric function
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