A transformation formula for Appell's hypergeometric function \(F_1\) and common limits of triple sequences by mean iterations (Q991729)
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scientific article; zbMATH DE number 5780341
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A transformation formula for Appell's hypergeometric function \(F_1\) and common limits of triple sequences by mean iterations |
scientific article; zbMATH DE number 5780341 |
Statements
A transformation formula for Appell's hypergeometric function \(F_1\) and common limits of triple sequences by mean iterations (English)
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7 September 2010
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The aim of the paper under review is to give a transformation formula for the so-called Appell's hypergeometric function of two variables. As an application is showed that some common limits of triple sequences by mean iteration of 3-terms can be expressed using the formula.
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hypergeometric function
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arithmetic-geometric mean
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mean iteration
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