return the asymptotic expansion of a given mathematical function - Maple Help

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FunctionAdvisor/asymptotic_expansion - return the asymptotic expansion of a given mathematical function

Calling Sequence

FunctionAdvisor(asymptotic_expansion, math_function)

Parameters

asymptotic_expansion

-

literal name; 'asymptotic_expansion'

math_function

-

Maple name of mathematical function

Description

• 

The FunctionAdvisor(asymptotic_expansion, math_function) command returns the asymptotic expansion of the function, if possible.

Examples

FunctionAdvisorasymptotic_expansion,arcsin

asymptarcsinz,z,4=Iln2I+lnz+14Iz2+O1z4

(1)

FunctionAdvisorasymptotic_expansion,erf

asympterfz,z,4=1+1πz+12πz3+O1z5ⅇz2

(2)

The variables used by the FunctionAdvisor command to create the calling sequence are local variables. To make the FunctionAdvisor command use global variables, pass the actual function call instead of the function name. Compare the following two input and output groups.

FunctionAdvisorasymptotic_expansion,FresnelS

asymptFresnelSz,z,4=12cos12πz2πzsin12πz2π2z3+O1z4

(3)

has,z

false

(4)

FunctionAdvisorasymptotic_expansion,FresnelSz

asymptFresnelSz,z,4=12cos12πz2πzsin12πz2π2z3+O1z4

(5)

has,z

true

(6)

See Also

FunctionAdvisor, FunctionAdvisor/series, FunctionAdvisor/topics


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