gives the derivative of the Airy function .
- Mathematical function, suitable for both symbolic and numerical manipulation.
- For certain special arguments, AiryBiPrime automatically evaluates to exact values.
- AiryBiPrime can be evaluated to arbitrary numerical precision.
- AiryBiPrime automatically threads over lists.
- AiryBiPrime can be used with Interval and CenteredInterval objects. »
Examplesopen allclose all
Basic Examples (5)
Series expansion at Infinity:
Numerical Evaluation (5)
Specific Values (3)
Plot the AiryBiPrime function:
Function Properties (9)
AiryBiPrime is defined for all real and complex values:
Function range of AiryBiPrime:
AiryBiPrime is an analytic function of x:
AiryBiPrime is neither non-increasing nor non-decreasing:
AiryBiPrime is not injective:
AiryBiPrime is surjective:
AiryBiPrime is neither non-negative nor non-positive:
AiryBiPrime has no singularities or discontinuities:
AiryBiPrime is neither convex nor concave:
Series Expansions (4)
Integral Transforms (2)
Function Identities and Simplifications (3)
Solve differential equations in terms of AiryBiPrime:
Solution of the modified linearized Korteweg–deVries equation for any function :
The normalizable states are determined through the zeros of AiryAiPrime:
Properties & Relations (5)
Compare with the output of Wronskian:
Obtain AiryBiPrime from sums:
AiryBiPrime appears in special cases of several mathematical functions:
Possible Issues (3)
A larger setting for $MaxExtraPrecision can be needed:
Neat Examples (1)
Nested integrals of the square of AiryBiPrime:
Wolfram Research (1991), AiryBiPrime, Wolfram Language function, https://reference.wolfram.com/language/ref/AiryBiPrime.html (updated 2022).
Wolfram Language. 1991. "AiryBiPrime." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2022. https://reference.wolfram.com/language/ref/AiryBiPrime.html.
Wolfram Language. (1991). AiryBiPrime. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/AiryBiPrime.html