Title: Confluent Hypergeometric Function of the First Kind -- from Wolfram MathWorld
Open Graph Title: Confluent Hypergeometric Function of the First Kind -- from Wolfram MathWorld
X Title: Confluent Hypergeometric Function of the First Kind -- from Wolfram MathWorld
Description: The confluent hypergeometric function of the first kind _1F_1(a;b;z) is a degenerate form of the hypergeometric function _2F_1(a,b;c;z) which arises as a solution the confluent hypergeometric differential equation. It is also known as Kummer's function of the first kind. There are a number of other notations used for the function (Slater 1960, p. 2), including F(alpha,beta,x) (Kummer 1836), M(a,b,z) (Airey and Webb 1918), Phi(a;b;z) (Humbert 1920), and infty; u(a,b,x) (Magnus and...
Open Graph Description: The confluent hypergeometric function of the first kind _1F_1(a;b;z) is a degenerate form of the hypergeometric function _2F_1(a,b;c;z) which arises as a solution the confluent hypergeometric differential equation. It is also known as Kummer's function of the first kind. There are a number of other notations used for the function (Slater 1960, p. 2), including F(alpha,beta,x) (Kummer 1836), M(a,b,z) (Airey and Webb 1918), Phi(a;b;z) (Humbert 1920), and infty; u(a,b,x) (Magnus and...
X Description: The confluent hypergeometric function of the first kind _1F_1(a;b;z) is a degenerate form of the hypergeometric function _2F_1(a,b;c;z) which arises as a solution the confluent hypergeometric differential equation. It is also known as Kummer's function of the first kind. There are a number of other notations used for the function (Slater 1960, p. 2), including F(alpha,beta,x) (Kummer 1836), M(a,b,z) (Airey and Webb 1918), Phi(a;b;z) (Humbert 1920), and infty; u(a,b,x) (Magnus and...
Opengraph URL: https://mathworld.wolfram.com/ConfluentHypergeometricFunctionoftheFirstKind.html
Domain: mathworld.wolfram.com
| DC.Title | Confluent Hypergeometric Function of the First Kind |
| DC.Creator | Weisstein, Eric W. |
| DC.Description | The confluent hypergeometric function of the first kind _1F_1(a;b;z) is a degenerate form of the hypergeometric function _2F_1(a,b;c;z) which arises as a solution the confluent hypergeometric differential equation. It is also known as Kummer's function of the first kind. There are a number of other notations used for the function (Slater 1960, p. 2), including F(alpha,beta,x) (Kummer 1836), M(a,b,z) (Airey and Webb 1918), Phi(a;b;z) (Humbert 1920), and infty; u(a,b,x) (Magnus and... |
| DC.Date.Modified | 2003-05-25 |
| DC.Subject | 33C15 |
| 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/ConfluentHypergeometricFunctionoftheFirstKind.html |
| DC.Language | en |
| DC.Publisher | Wolfram Research, Inc. |
| DC.Relation.IsPartOf | https://mathworld.wolfram.com/ |
| DC.Type | Text |
| Last-Modified | 2003-05-25 |
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| og:type | website |
| twitter:card | summary_large_image |
| twitter:image:src | https://mathworld.wolfram.com/images/socialmedia/share/ogimage_ConfluentHypergeometricFunctionoftheFirstKind.png |
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