|
6373 | 6373 | </fnargs>
|
6374 | 6374 | <description>
|
6375 | 6375 | <para context="notex">
|
6376 |
| - Returns the Gauss hypergeometric function for the real |
| 6376 | + Returns the Gaussian hypergeometric function for the real |
6377 | 6377 | argument <argname>x</argname>. Valid values for
|
6378 |
| - <argname>x</argname> are between −1 and 1 |
6379 |
| - (inclusive). This function is very general, and reduces to a |
6380 |
| - simpler function is some special cases, such as for example |
| 6378 | + <argname>x</argname> are in the closed interval [−1, 1]. |
| 6379 | + This function is very general, and reduces to a |
| 6380 | + simpler function in some special cases, such as for example |
6381 | 6381 | <math>-</math>log(<math>1-x</math>)/<math>x</math> for
|
6382 | 6382 | <math>a=b=1</math> and <math>c=2</math>. See
|
6383 | 6383 | <url>https://en.wikipedia.org/wiki/Hypergeometric_function</url>
|
6384 | 6384 | for more details.
|
6385 | 6385 | </para>
|
6386 | 6386 | <para context="tex">
|
6387 |
| - Returns the Gauss hypergeometric function |
| 6387 | + Returns the Gaussian hypergeometric function |
6388 | 6388 | <math>{}_2F_1(a,b;c;z) = \sum_{n=0}^\infty \frac{(a)_n
|
6389 |
| - (b)_n}{(c)_n} \frac{z^n}{n!}.</math> for real argument |
| 6389 | + (b)_n}{(c)_n} \frac{z^n}{n!}</math> for real argument |
6390 | 6390 | <argname>x</argname>. Valid values for <argname>x</argname>
|
6391 |
| - are between <math>-1</math> and 1 (inclusive). This function |
6392 |
| - is very general, and reduces to a simpler function is some |
| 6391 | + are in the closed interval [−1, 1]. This function |
| 6392 | + is very general, and reduces to a simpler function in some |
6393 | 6393 | special cases, such as for example
|
6394 | 6394 | <math>-\frac{\log(1-x)}{x}</math> for <math>a=b=1</math> and
|
6395 | 6395 | <math>c=2</math>. See
|
|
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