Title: Modified Bessel Function of the First Kind -- from Wolfram MathWorld
Open Graph Title: Modified Bessel Function of the First Kind -- from Wolfram MathWorld
X Title: Modified Bessel Function of the First Kind -- from Wolfram MathWorld
Description: A function I_n(x) which is one of the solutions to the modified Bessel differential equation and is closely related to the Bessel function of the first kind J_n(x). The above plot shows I_n(x) for n=1, 2, ..., 5. The modified Bessel function of the first kind is implemented in the Wolfram Language as BesselI[nu, z]. The modified Bessel function of the first kind I_n(z) can be defined by the contour integral I_n(z)=1/(2pii)∮e^((z/2)(t+1/t))t^(-n-1)dt, (1) where the contour encloses...
Open Graph Description: A function I_n(x) which is one of the solutions to the modified Bessel differential equation and is closely related to the Bessel function of the first kind J_n(x). The above plot shows I_n(x) for n=1, 2, ..., 5. The modified Bessel function of the first kind is implemented in the Wolfram Language as BesselI[nu, z]. The modified Bessel function of the first kind I_n(z) can be defined by the contour integral I_n(z)=1/(2pii)∮e^((z/2)(t+1/t))t^(-n-1)dt, (1) where the contour encloses...
X Description: A function I_n(x) which is one of the solutions to the modified Bessel differential equation and is closely related to the Bessel function of the first kind J_n(x). The above plot shows I_n(x) for n=1, 2, ..., 5. The modified Bessel function of the first kind is implemented in the Wolfram Language as BesselI[nu, z]. The modified Bessel function of the first kind I_n(z) can be defined by the contour integral I_n(z)=1/(2pii)∮e^((z/2)(t+1/t))t^(-n-1)dt, (1) where the contour encloses...
Opengraph URL: https://mathworld.wolfram.com/ModifiedBesselFunctionoftheFirstKind.html
Domain: mathworld.wolfram.com
| DC.Title | Modified Bessel Function of the First Kind |
| DC.Creator | Weisstein, Eric W. |
| DC.Description | A function I_n(x) which is one of the solutions to the modified Bessel differential equation and is closely related to the Bessel function of the first kind J_n(x). The above plot shows I_n(x) for n=1, 2, ..., 5. The modified Bessel function of the first kind is implemented in the Wolfram Language as BesselI[nu, z]. The modified Bessel function of the first kind I_n(z) can be defined by the contour integral I_n(z)=1/(2pii)∮e^((z/2)(t+1/t))t^(-n-1)dt, (1) where the contour encloses... |
| DC.Date.Modified | 2004-08-05 |
| DC.Subject | 33C10 |
| 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/ModifiedBesselFunctionoftheFirstKind.html |
| DC.Language | en |
| DC.Publisher | Wolfram Research, Inc. |
| DC.Relation.IsPartOf | https://mathworld.wolfram.com/ |
| DC.Type | Text |
| Last-Modified | 2004-08-05 |
| og:image | https://mathworld.wolfram.com/images/socialmedia/share/ogimage_ModifiedBesselFunctionoftheFirstKind.png |
| og:type | website |
| twitter:card | summary_large_image |
| twitter:image:src | https://mathworld.wolfram.com/images/socialmedia/share/ogimage_ModifiedBesselFunctionoftheFirstKind.png |
| None | ie=edge |
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