Title: Polygamma Function -- from Wolfram MathWorld
Open Graph Title: Polygamma Function -- from Wolfram MathWorld
X Title: Polygamma Function -- from Wolfram MathWorld
Description: A special function mostly commonly denoted psi_n(z), psi^((n))(z), or F_n(z-1) which is given by the (n+1)st derivative of the logarithm of the gamma function Gamma(z) (or, depending on the definition, of the factorial z!). This is equivalent to the nth normal derivative of the logarithmic derivative of Gamma(z) (or z!) and, in the former case, to the nth normal derivative of the digamma function psi_0(z). Because of this ambiguity in definition, two different notations are sometimes (but...
Open Graph Description: A special function mostly commonly denoted psi_n(z), psi^((n))(z), or F_n(z-1) which is given by the (n+1)st derivative of the logarithm of the gamma function Gamma(z) (or, depending on the definition, of the factorial z!). This is equivalent to the nth normal derivative of the logarithmic derivative of Gamma(z) (or z!) and, in the former case, to the nth normal derivative of the digamma function psi_0(z). Because of this ambiguity in definition, two different notations are sometimes (but...
X Description: A special function mostly commonly denoted psi_n(z), psi^((n))(z), or F_n(z-1) which is given by the (n+1)st derivative of the logarithm of the gamma function Gamma(z) (or, depending on the definition, of the factorial z!). This is equivalent to the nth normal derivative of the logarithmic derivative of Gamma(z) (or z!) and, in the former case, to the nth normal derivative of the digamma function psi_0(z). Because of this ambiguity in definition, two different notations are sometimes (but...
Opengraph URL: https://mathworld.wolfram.com/PolygammaFunction.html
Domain: mathworld.wolfram.com
| DC.Title | Polygamma Function |
| DC.Creator | Weisstein, Eric W. |
| DC.Description | A special function mostly commonly denoted psi_n(z), psi^((n))(z), or F_n(z-1) which is given by the (n+1)st derivative of the logarithm of the gamma function Gamma(z) (or, depending on the definition, of the factorial z!). This is equivalent to the nth normal derivative of the logarithmic derivative of Gamma(z) (or z!) and, in the former case, to the nth normal derivative of the digamma function psi_0(z). Because of this ambiguity in definition, two different notations are sometimes (but... |
| DC.Date.Modified | 2007-12-11 |
| DC.Subject | 33B15 |
| 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/PolygammaFunction.html |
| DC.Language | en |
| DC.Publisher | Wolfram Research, Inc. |
| DC.Relation.IsPartOf | https://mathworld.wolfram.com/ |
| DC.Type | Text |
| Last-Modified | 2007-12-11 |
| og:image | https://mathworld.wolfram.com/images/socialmedia/share/ogimage_PolygammaFunction.png |
| og:type | website |
| twitter:card | summary_large_image |
| twitter:image:src | https://mathworld.wolfram.com/images/socialmedia/share/ogimage_PolygammaFunction.png |
| None | ie=edge |
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