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Summary Of: Stirling series

Encyclodia Page On: Stirling series

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The ratio of (ln n!) to (n ln n − n) approaches unity as n increases. | | mathematics | factorials | James Stirling | natural logarithm | trapezoid rule | Euler–Maclaurin formula | Bernoulli number | Euler–Maclaurin formula | Big-O notation | Wallis' product | integration by parts | method of steepest descent | The relative error in a truncated Stirling series vs. the number of terms used. | | asymptotic expansion | convergent series | Gamma function | Bernoulli number | Thomas Bayes | John Canton | Royal Society | 1763 | convergent series | rising exponentials | Taylor series | hyperbolic sine | Abraham de Moivre | Jacques Binet | Lanczos approximation | Spouge's approximation | ISBN 0-521-58807-3 | Eric W. Weisstein | MathWorld | PlanetMath | Categories | Asymptotic analysis | Analytic number theory | Gamma and related functions |
This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Stirling series".