SpheroidalS2Prime
SpheroidalS2Prime[n,m,γ,z]
gives the derivative with respect to of the radial spheroidal function
of the second kind.
Details

- Mathematical function, suitable for both symbolic and numerical manipulation.
- For certain special arguments, SpheroidalS2Prime automatically evaluates to exact values.
- SpheroidalS2Prime can be evaluated to arbitrary numerical precision.
- SpheroidalS2Prime automatically threads over lists.
Examples
open allclose allBasic Examples (5)
Scope (23)
Numerical Evaluation (4)
Specific Values (5)
Simple exact values are generated automatically:
Find the first positive maximum of SpheroidalS2Prime[2,0,5,x]:
SpheroidalS2Prime functions become elementary if and
:
TraditionalForm typesetting:
Visualization (3)
Plot the SpheroidalS2Prime function for integer orders:
Plot the SpheroidalS2Prime function for non-integer parameters:
Plot the real part of SpheroidalS2Prime:
Plot the imaginary part of SpheroidalS2Prime:
Function Properties (5)
SpheroidalS2Prime is not an analytic function:
has both singularities and discontinuities for
:
is neither non-decreasing nor non-increasing:
SpheroidalS2Prime is neither non-negative nor non-positive:
SpheroidalS2Prime is neither convex nor concave:
Differentiation (2)
Integration (2)
Series Expansions (2)
Find the Taylor expansion using Series:
Text
Wolfram Research (2007), SpheroidalS2Prime, Wolfram Language function, https://reference.wolfram.com/language/ref/SpheroidalS2Prime.html.
CMS
Wolfram Language. 2007. "SpheroidalS2Prime." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/SpheroidalS2Prime.html.
APA
Wolfram Language. (2007). SpheroidalS2Prime. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/SpheroidalS2Prime.html