Poisson series expansion - Maple Help

Online Help

All Products    Maple    MapleSim


Home : Support : Online Help : Mathematics : Power Series : Expansions : poisson

poisson - Poisson series expansion

Calling Sequence

poisson(f, v, n, w)

Parameters

f

-

algebraic expression

v

-

list or set of names or equations

n

-

(optional) non-negative integer

w

-

(optional) list of positive integers

Description

• 

The poisson function generates a multivariate Taylor series expansion of the input expression f, with respect to the variables v, to order n, using the variable weights w. Trigonometric terms in the coefficients are combined.

• 

The parameters and result are the same type as for the mtaylor function. The only difference is that sines and cosines in the coefficients are combined into the Fourier canonical form.

Examples

f:=sin3w+xcos2wy

f:=sin3w+xcos2wy

(1)

poissonf,x,y,3

12sin5w+12sinw+12cosw+12cos5wx+12cosw12cos5wy+14sin5w14sinwx2+14sin5w14sinwy2+12sin5w12sinwyx

(2)

mtaylorf,x,y,3

sin3wcos2w+sin3wsin2wy+cos3wxcos2w12sin3wcos2wy2+cos3wxsin2wy12sin3wx2cos2w

(3)

poissonf,x,y,3,2,1

12sin5w+12sinw+12cosw+12cos5wx+12cosw12cos5wy+14sin5w14sinwy2

(4)

See Also

combine[trig], mtaylor


Download Help Document

Was this information helpful?



Please add your Comment (Optional)
E-mail Address (Optional)
What is ? This question helps us to combat spam