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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=_k1=1bernoulli2_k1−1_k1z1+2_k14_k116_k1Γ2_k1+1&comma;Andabsz<12&pi;

(3)

Getspecial_values&comma;sec

secπ6=233&comma;secπ4=2&comma;secπ3=2&comma;sec=undefined&comma;secI=0&comma;secπn=−1&comma;Andn::odd&comma;secπn=1&comma;Andn::even&comma;secπn2=+I&comma;Andn::odd

(4)

Getbranch_cuts&comma;arccot

arccotz&comma;zComplexRangeI&comma;−IzComplexRangeI&comma;I

(5)

Getidentities&comma;BesselK

BesselKa&comma;Iz=πBesselYa&comma;z2Ia+BesselJa&comma;zlnzlnIzIa&comma;Anda::integer&comma;BesselKa&comma;Iz=πzaBesselYa&comma;z2Iza+πBesselJa&comma;zIzaza+zacosπaIzacscπa2&comma;Anda::Notinteger&comma;BesselKa&comma;z=−1aBesselKa&comma;z+BesselIa&comma;zlnzlnz&comma;Anda::integer&comma;BesselKa&comma;z=zaBesselKa&comma;zza+πzazazazaBesselIa&comma;zcscπa2&comma;Anda::Notinteger&comma;BesselKa&comma;bczqp=bcpzpqaBesselKa&comma;bcpzpqbczqpaπcscπaBesselIa&comma;bcpzpqbczqpabcpzpqabcpzpqabczqpa2&comma;a::¬&apos;integer&apos;2p::&apos;integer&apos;&comma;BesselKa&comma;bczqp=czqpcpzpqaBesselKa&comma;bcpzpq−1aBesselIa&comma;bcpzpqlnbczqplnbcpzpq&comma;a::&apos;integer&apos;2p::&apos;integer&apos;&comma;BesselKa&comma;z=2a1BesselKa1&comma;zz+BesselKa2&comma;z&comma;BesselKa&comma;z=2a+1BesselKa+1&comma;zz+BesselKa+2&comma;z

(6)

Getcalling_sequence&comma;ζ&comma;all

ζs,ζn&comma;s,ζn&comma;s&comma;a

(7)

Getdefinition&comma;JacobiAM

z=JacobiAM0z11k2sinθ2&DifferentialD;θ&comma;k&comma;z::32&comma;32

(8)

Getdefinition&comma;InverseJacobiAM

InverseJacobiAMφ&comma;k=0φ11k2sin_&theta;12&DifferentialD;_&theta;1&comma;with no restrictions on φ&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]