SpheroidalS1Prime

Notations

Traditional name

Traditional notation

Mathematica StandardForm notation

Primary definition

Specific values

General characteristics

Domain and analyticity

(Subscript[S, ν,μ]^((1)))'(γ,z) is an analytical function of ν, μ, γ, z which is defined in (ℂ^4).

Symmetries and periodicities

Parity

(Subscript[S, ν,μ]^((1)))'(γ,z) is an even function with respect to μ.

Mirror symmetry

Periodicity

No periodicity

Series representations

Generalized power series

Expansions at generic point z==(Subscript[z, 0])

Expansions at z==0

Differential equations

Ordinary linear differential equations and wronskians

For the direct function itself

Differentiation

Low-order differentiation

With respect to z

Integration

Indefinite integration

Involving only one direct function

Operations

Representations through equivalent functions

Theorems

History

Copyright