Title: Generating Function -- from Wolfram MathWorld
Open Graph Title: Generating Function -- from Wolfram MathWorld
X Title: Generating Function -- from Wolfram MathWorld
Description: A generating function f(x) is a formal power series f(x)=sum_(n=0)^inftya_nx^n (1) whose coefficients give the sequence {a_0,a_1,...}. The Wolfram Language command GeneratingFunction[expr, n, x] gives the generating function in the variable x for the sequence whose nth term is expr. Given a sequence of terms, FindGeneratingFunction[{a1, a2, ...}, x] attempts to find a simple generating function in x whose nth coefficient is a_n. Given a generating function, the analytic expression for...
Open Graph Description: A generating function f(x) is a formal power series f(x)=sum_(n=0)^inftya_nx^n (1) whose coefficients give the sequence {a_0,a_1,...}. The Wolfram Language command GeneratingFunction[expr, n, x] gives the generating function in the variable x for the sequence whose nth term is expr. Given a sequence of terms, FindGeneratingFunction[{a1, a2, ...}, x] attempts to find a simple generating function in x whose nth coefficient is a_n. Given a generating function, the analytic expression for...
X Description: A generating function f(x) is a formal power series f(x)=sum_(n=0)^inftya_nx^n (1) whose coefficients give the sequence {a_0,a_1,...}. The Wolfram Language command GeneratingFunction[expr, n, x] gives the generating function in the variable x for the sequence whose nth term is expr. Given a sequence of terms, FindGeneratingFunction[{a1, a2, ...}, x] attempts to find a simple generating function in x whose nth coefficient is a_n. Given a generating function, the analytic expression for...
Opengraph URL: https://mathworld.wolfram.com/GeneratingFunction.html
Domain: mathworld.wolfram.com
| DC.Title | Generating Function |
| DC.Creator | Weisstein, Eric W. |
| DC.Description | A generating function f(x) is a formal power series f(x)=sum_(n=0)^inftya_nx^n (1) whose coefficients give the sequence {a_0,a_1,...}. The Wolfram Language command GeneratingFunction[expr, n, x] gives the generating function in the variable x for the sequence whose nth term is expr. Given a sequence of terms, FindGeneratingFunction[{a1, a2, ...}, x] attempts to find a simple generating function in x whose nth coefficient is a_n. Given a generating function, the analytic expression for... |
| DC.Date.Modified | 2008-11-15 |
| DC.Subject | 05A15 |
| DC.Rights | Copyright 1999-2026 Wolfram Research, Inc. See https://mathworld.wolfram.com/about/terms.html for a full terms of use statement. |
| DC.Format | text/html |
| DC.Identifier | https://mathworld.wolfram.com/GeneratingFunction.html |
| DC.Language | en |
| DC.Publisher | Wolfram Research, Inc. |
| DC.Relation.IsPartOf | https://mathworld.wolfram.com/ |
| DC.Type | Text |
| Last-Modified | 2008-11-15 |
| og:image | https://mathworld.wolfram.com/images/socialmedia/share/ogimage_GeneratingFunction.png |
| og:type | website |
| twitter:card | summary_large_image |
| twitter:image:src | https://mathworld.wolfram.com/images/socialmedia/share/ogimage_GeneratingFunction.png |
| None | ie=edge |
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