ScorerGi
ScorerGi[z]
gives the Scorer function .
Details

- ScorerGi is also known as an inhomogeneous Airy function.
- Mathematical function, suitable for both symbolic and numeric manipulation.
- The Scorer function
is a solution to the inhomogeneous Airy differential equation
.
tends to zero as
.
- ScorerGi[z] is an entire function of z with no branch cut discontinuities.
- For certain arguments, ScorerGi automatically evaluates to exact values.
- ScorerGi can be evaluated to arbitrary numerical precision.
- ScorerGi automatically threads over lists.
- ScorerGi can be used with Interval and CenteredInterval objects. »
Examples
open allclose allBasic Examples (4)
Scope (30)
Numerical Evaluation (5)
The precision of the output tracks the precision of the input:
Evaluate efficiently at high precision:
ScorerGi can be used with Interval and CenteredInterval objects:
Specific Values (3)
Simple exact values are generated automatically:
Find positive maximum of ScorerGi[x ]:
Visualization (2)
Function Properties (11)
Real domain of ScorerGi:
Approximate function range of ScorerGi:
ScorerGi threads elementwise over lists:
ScorerGi is an analytic function of x:
ScorerGi is neither non-decreasing nor non-increasing:
ScorerGi is not injective:
ScorerGi is not surjective:
ScorerGi is neither non-negative nor non-positive:
ScorerGi does not have singularity or discontinuity:
ScorerGi is neither convex nor concave:
TraditionalForm typesetting:
Differentiation and Integration (4)
First derivative with respect to z:
Higher derivatives with respect to z
Plot the higher derivatives with respect to z:
Formula for the derivative with respect to z:
Indefinite integral of ScorerGi:
Series Expansions (2)
Find the Taylor expansion using Series:
Function Identities and Simplifications (3)
FunctionExpand tries to simplify the argument of ScorerGi:
ScorerGi can be represented as a DifferentialRoot:
Text
Wolfram Research (2014), ScorerGi, Wolfram Language function, https://reference.wolfram.com/language/ref/ScorerGi.html.
CMS
Wolfram Language. 2014. "ScorerGi." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/ScorerGi.html.
APA
Wolfram Language. (2014). ScorerGi. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/ScorerGi.html