return the definition of the analytic extension of a given mathematical function - Maple Help

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FunctionAdvisor/analytic_extension - return the definition of the analytic extension of a given mathematical function

Calling Sequence

FunctionAdvisor(analytic_extension, math_function)

Parameters

analytic_extension

-

literal name; 'analytic_extension'

math_function

-

Maple name of mathematical function

Description

• 

The FunctionAdvisor(analytic_extension, math_function) command returns the definition of the analytic extension used by Maple to extend the function outside the classical domain, typically to the entire complex plane.

  

Note: For most functions the domain of the classical definition is the entire complex plane. If the requested information is not available, the FunctionAdvisor command returns NULL.

Examples

FunctionAdvisordefinition,Γz

&Gamma;z&equals;&int;0&infin;_k1z1&ExponentialE;_k1&DifferentialD;_k1&comma;And0<&real;z

(1)

FunctionAdvisoranalytic_extension&comma;&Gamma;

&Gamma;z&equals;&pi;sin&pi;z&Gamma;1z&comma;And&real;z<0

(2)

See Also

FunctionAdvisor, FunctionAdvisor/topics


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