Title: Reflection Relation -- from Wolfram MathWorld
Open Graph Title: Reflection Relation -- from Wolfram MathWorld
X Title: Reflection Relation -- from Wolfram MathWorld
Description: A reflection relation is a functional equation relating f(-x) to f(x), or more generally, f(a-x) to f(x). Perhaps the best known example of a reflection formula is the gamma function identity Gamma(z)Gamma(1-z)=pi/(sin(piz)), (1) originally discovered by Euler (Havil 2003, pp. 58-59). The reflection relation for the Riemann zeta function zeta(z) is given by zeta(1-z)=chi(z)zeta(z), (2) where chi(z)=2(2pi)^(-z)cos(1/2piz)Gamma(z) (3) and Gamma(z) is the gamma function, as first...
Open Graph Description: A reflection relation is a functional equation relating f(-x) to f(x), or more generally, f(a-x) to f(x). Perhaps the best known example of a reflection formula is the gamma function identity Gamma(z)Gamma(1-z)=pi/(sin(piz)), (1) originally discovered by Euler (Havil 2003, pp. 58-59). The reflection relation for the Riemann zeta function zeta(z) is given by zeta(1-z)=chi(z)zeta(z), (2) where chi(z)=2(2pi)^(-z)cos(1/2piz)Gamma(z) (3) and Gamma(z) is the gamma function, as first...
X Description: A reflection relation is a functional equation relating f(-x) to f(x), or more generally, f(a-x) to f(x). Perhaps the best known example of a reflection formula is the gamma function identity Gamma(z)Gamma(1-z)=pi/(sin(piz)), (1) originally discovered by Euler (Havil 2003, pp. 58-59). The reflection relation for the Riemann zeta function zeta(z) is given by zeta(1-z)=chi(z)zeta(z), (2) where chi(z)=2(2pi)^(-z)cos(1/2piz)Gamma(z) (3) and Gamma(z) is the gamma function, as first...
Opengraph URL: https://mathworld.wolfram.com/ReflectionRelation.html
Domain: mathworld.wolfram.com
| DC.Title | Reflection Relation |
| DC.Creator | Weisstein, Eric W. |
| DC.Description | A reflection relation is a functional equation relating f(-x) to f(x), or more generally, f(a-x) to f(x). Perhaps the best known example of a reflection formula is the gamma function identity Gamma(z)Gamma(1-z)=pi/(sin(piz)), (1) originally discovered by Euler (Havil 2003, pp. 58-59). The reflection relation for the Riemann zeta function zeta(z) is given by zeta(1-z)=chi(z)zeta(z), (2) where chi(z)=2(2pi)^(-z)cos(1/2piz)Gamma(z) (3) and Gamma(z) is the gamma function, as first... |
| DC.Date.Modified | 2008-12-31 |
| DC.Subject | 33 |
| 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/ReflectionRelation.html |
| DC.Language | en |
| DC.Publisher | Wolfram Research, Inc. |
| DC.Relation.IsPartOf | https://mathworld.wolfram.com/ |
| DC.Type | Text |
| Last-Modified | 2008-12-31 |
| og:image | https://mathworld.wolfram.com/images/socialmedia/share/ogimage_ReflectionRelation.png |
| og:type | website |
| twitter:card | summary_large_image |
| twitter:image:src | https://mathworld.wolfram.com/images/socialmedia/share/ogimage_ReflectionRelation.png |
| None | ie=edge |
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