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MathematicalFunctions

  

Get

  

return information on a mathematical function

 

Calling Sequence

Parameters

Description

Examples

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

plot

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,Sequences,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<π2

(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;Iz&equals;12&pi;BesselYa&comma;zIa&plus;BesselJa&comma;zlnzlnIzIa&comma;Anda::integer&comma;BesselKa&comma;Iz&equals;12&pi;zaBesselYa&comma;zIza&plus;12&pi;BesselJa&comma;zIzaza&plus;zacos&pi;aIzacsc&pi;a&comma;Anda::Notinteger&comma;BesselKa&comma;z&equals;1aBesselKa&comma;z&plus;BesselIa&comma;zlnzlnz&comma;Anda::integer&comma;BesselKa&comma;z&equals;zaBesselKa&comma;zza&plus;12&pi;zazazazaBesselIa&comma;zcsc&pi;a&comma;Anda::Notinteger&comma;BesselKa&comma;bczqp&equals;bcpzpqaBesselKa&comma;bcpzpqbczqpa12&pi;csc&pi;aBesselIa&comma;bcpzpqbczqpabcpzpqabcpzpqabczqpa&comma;a::NotintegerAnd2p::integer&comma;BesselKa&comma;bczqp&equals;czqpcpzpqaBesselKa&comma;bcpzpq1aBesselIa&comma;bcpzpqlnbczqplnbcpzpq&comma;a::integerAnd2p::integer&comma;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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