FunctionAdvisor/series - Maple Programming Help

Online Help

All Products    Maple    MapleSim


Home : Support : Online Help : Mathematics : FunctionAdvisor : FunctionAdvisor/series

FunctionAdvisor/series

return the series expansion of a given mathematical function

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

FunctionAdvisor(series, math_function)

Parameters

series

-

literal name; 'series'

math_function

-

Maple name of mathematical function

Description

• 

The FunctionAdvisor(series, math_function) command returns the series expansion of the function when the system can compute it. Otherwise, the command returns NULL.

• 

The order of the series expansion in the output is set to four. On the left-hand side there is the corresponding function call to compute the series in Maple to facilitate copy and paste. If you change the order in the calling sequence, it returns the number of terms requested.

Examples

FunctionAdvisorseries,JacobiTheta3

seriesJacobiTheta3z,q,z,4=_k1=12q_k12+_k1=14q_k12_k12z2+Oz4,seriesJacobiTheta3z,q,q,4=1+2cos2zq+Oq4

(1)

FunctionAdvisorseries,sin

seriessinz,z,4=z16z3+Oz5

(2)

The variables used by the FunctionAdvisor command to create the function calling sequences are local variables. Therefore, the previous example does not depend on z.

depends,z

false

(3)

To make the FunctionAdvisor command return results using global variables, pass the function call itself.

FunctionAdvisorseries,sinz

seriessinz,z,4=z16z3+Oz5

(4)

depends,z

true

(5)

Note that for some functions Maple knows how to compute the series expansion with respect to more than one function parameter. In these cases, a sequence of series expansions is returned.

FunctionAdvisorseries,Β

seriesΒx,y,x,4=x−1+Ψyγ+π212+γ22Ψ1,y2+Ψy22+Ψyγx+ζ33π2γ12γ36Ψ2,y6+Ψ1,yΨy2Ψy36+γΨ1,y2γΨy22Ψyγ22Ψyπ212x2+Ox3

(6)

See Also

depends

FunctionAdvisor

FunctionAdvisor/asymptotic_expansion

FunctionAdvisor/topics