return information on a mathematical function - Maple Help

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MathematicalFunctions[Get] - return information on a mathematical function

Calling Sequence

Get(topic, math_function, all)

Parameters

topic

-

name; specifies the topic for information

math_function

-

name; mathematical function

all

-

(optional) literal name; can be used with only calling_sequence topic to return all known calling sequences

Description

• 

The Get(topic, math_function) function returns the topic information on the function math_function. If the requested information is not available it returns NULL.

• 

The topic argument must be one of:

analytic_extension

asymptotic_expansion

branch_cuts

branch_points

calling_sequence

classify_function

definition

describe

differentiation_rule

display

identities

integral_form

series

singularities

special_values

sum_form

• 

To display the list of possible values for the math_function argument, use the FunctionAdvisor(known_functions) function. For more information, see FunctionAdvisor/known_functions.

• 

The Get(topic, math_function) function is equivalent to FunctionAdvisor(topic, math_function), but does not attempt to match misspelled topic or math_function arguments to the correct names. For more information, see FunctionAdvisor.

  

The FunctionAdvisor command supports additional topics. For more information, see FunctionAdvisor/topics.

Examples

withMathematicalFunctions

&Intersect,&Minus,&Union,Assume,Coulditbe,Evalf,Get,Is,SearchFunction,Series

(1)

Getseries,arcsin

seriesarcsinz,z,4=z+16z3+Oz5

(2)

Getsum_form,tan

tanz&equals;_k1&equals;1&infin;bernoulli2_k11_k1z1&plus;2_k14_k116_k1&Gamma;2_k1&plus;1&comma;Andz<12&pi;

(3)

Getspecial_values&comma;sec

sec16&pi;&equals;233&comma;sec14&pi;&equals;2&comma;sec13&pi;&equals;2&comma;sec&infin;&equals;undefined&comma;sec&infin;I&equals;0&comma;sec&pi;n&equals;1&comma;Andn::odd&comma;sec&pi;n&equals;1&comma;Andn::even&comma;sec12&pi;n&equals;&infin;&plus;&infin;I&comma;Andn::odd

(4)

Getbranch_cuts&comma;arccot

arccotz&comma;z&in;ComplexRange&infin;I&comma;I&comma;z&in;ComplexRangeI&comma;&infin;I

(5)

Getidentities&comma;BesselK

BesselKa&comma;z&equals;2a1BesselKa1&comma;zz&plus;BesselKa2&comma;z&comma;BesselKa&comma;z&equals;2a&plus;1BesselKa&plus;1&comma;zz&plus;BesselKa&plus;2&comma;z

(6)

Getcalling_sequence&comma;&zeta;&comma;all

&zeta;s&comma;&zeta;n&comma;s&comma;&zeta;n&comma;s&comma;a

(7)

Getdefinition&comma;JacobiAM

z&equals;JacobiAM&int;0z11k2sin&theta;2&DifferentialD;&theta;&comma;k&comma;z::RealRange32&comma;32

(8)

Getdefinition&comma;InverseJacobiAM

InverseJacobiAM&phi;&comma;k&equals;&int;0&phi;11k2sin_&theta;12&DifferentialD;_&theta;1&comma;with no restrictions on &phi;&comma;k

(9)

See Also

FunctionAdvisor, FunctionAdvisor/analytic_extension, FunctionAdvisor/asymptotic_expansion, FunctionAdvisor/branch_cuts, FunctionAdvisor/branch_points, FunctionAdvisor/calling_sequence, FunctionAdvisor/classify_function, FunctionAdvisor/definition, FunctionAdvisor/describe, FunctionAdvisor/differentiation_rule, FunctionAdvisor/display, FunctionAdvisor/identities, FunctionAdvisor/integral_form, FunctionAdvisor/series, FunctionAdvisor/singularities, FunctionAdvisor/special_values, FunctionAdvisor/sum_form, MathematicalFunctions, MathematicalFunctions[SearchFunction], MathematicalFunctions[Series]


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