WeberE
Details

- Mathematical function, suitable for both symbolic and numerical manipulation.
satisfies the differential equation
.
is defined by
.
- WeberE[ν,z] is an entire function of z with no branch cut discontinuities.
- For certain special arguments, WeberE automatically evaluates to exact values.
- WeberE can be evaluated to arbitrary numerical precision.
- WeberE automatically threads over lists.
Examples
open allclose allBasic Examples (4)
Scope (25)
Numerical Evaluation (4)
Specific Values (6)
Visualization (3)
Plot the WeberE function for integer () and half-integer (
) orders:
Function Properties (6)
is defined for all real values:
The complex domain is the whole plane:
The approximate function range of :
Use FullSimplify to simplify Weber functions:
WeberE threads elementwise over lists:
TraditionalForm formatting:
Differentiation (3)
Series Expansions (3)
Find the Taylor expansion using Series:
Plots of the first three approximations around :
The general term in the series expansion using SeriesCoefficient:
Properties & Relations (1)
Use FunctionExpand to expand WeberE into hypergeometric functions:
Text
Wolfram Research (2008), WeberE, Wolfram Language function, https://reference.wolfram.com/language/ref/WeberE.html.
BibTeX
BibLaTeX
CMS
Wolfram Language. 2008. "WeberE." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/WeberE.html.
APA
Wolfram Language. (2008). WeberE. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/WeberE.html