|
OrthogonalSeries[Degree] - return the degree of a series with respect to one or more variables
|
|
Calling Sequence
|
|
Degree(S, x)
Degree(S, [x1,.., xn])
Degree(S)
|
|
|
Parameters
|
|
|
S
|
-
|
orthogonal series
|
|
x, x1, .., xn
|
-
|
names
|
|
|
|
|
|
Description
|
|
|
•
|
If S is a finite series, then the Degree(S, x) calling sequence returns the degree of S with respect to the variable x. If S is an infinite series, then the result is infinity.
|
|
•
|
The Degree(S, [x1,.., xn]) calling sequence returns [Degree(S, x1),..., Degree(S, xn)].
|
|
•
|
The Degree(S) calling sequence returns the maximum degree of S with respect to its variables. This allows the user to test whether a series is finite.
|
|
|
|
Examples
|
|
|
>
|
|
|
>
|
![S := Create([(0, 0) = 3, (1, 2) = -1, (3, 2) = alpha], GegenbauerC(n, 1, x), LaguerreL(m, 1, y))](/support/helpjp/helpview.aspx?si=6730/file02478/math95.png)
|
|
| (1) |
|
![[3, 2]](/support/helpjp/helpview.aspx?si=6730/file02478/math113.png)
| (2) |
|
>
|
|
|
| (3) |
|
>
|
|
|
| (4) |
|
| (5) |
|
>
|
![S2 := Create({1/n^2, n = 3 .. 8, [0 = 1, N = 2]}, ChebyshevT(n, x))](/support/helpjp/helpview.aspx?si=6730/file02478/math146.png)
|
|
| (6) |
|
>
|
|
|
| (7) |
|
|
Download Help Document
Was this information helpful?
