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FunctionAdvisor/function_classes

return all class names

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

FunctionAdvisor(function_classes)

Parameters

function_classes

-

literal name; 'function_classes'

Description

• 

The FunctionAdvisor(function_classes) command returns all class names for which information is available.

Examples

FunctionAdvisorfunction_classes

trig,trigh,arctrig,arctrigh,elementary,GAMMA_related,Psi_related,Kelvin,Airy,Hankel,Bessel_related,0F1,orthogonal_polynomials,Ei_related,erf_related,Kummer,Whittaker,Cylinder,1F1,Elliptic_related,Legendre,Chebyshev,2F1,Lommel,Struve_related,hypergeometric,Jacobi_related,InverseJacobi_related,Elliptic_doubly_periodic,Weierstrass_related,Zeta_related,complex_components,piecewise_related,Other,Bell,Heun,trigall,arctrigall,integral_transforms

(1)

For each function class, you can obtain the class members as follows:

FunctionAdvisorclass_members,elementary

The 26 functions in the "elementary" class are:

arccos,arccosh,arccot,arccoth,arccsc,arccsch,arcsec,arcsech,arcsin,arcsinh,arctan,arctanh,cos,cosh,cot,coth,csc,csch,exp,ln,sec,sech,sin,sinh,tan,tanh

(2)

FunctionAdvisorclass_members,ortho

* Partial match of "ortho" against topic "orthogonal_polynomials".
The 7 functions in the "orthogonal_polynomials" class are:

ChebyshevT,ChebyshevU,GegenbauerC,HermiteH,JacobiP,LaguerreL,LegendreP

(3)

Functions are also classifiable into these function classes via the following.

FunctionAdvisorclassify,Gegen

* Partial match of "classify" against topic "classify_function".
* Partial match of Gegen against topic GegenbauerC.
GegenbauerC belongs to the subclass "orthogonal_polynomials" of the class "2F1" and so, in principle, it can be related to various of the 26 functions of those classes - see FunctionAdvisor( "orthogonal_polynomials" ); and FunctionAdvisor( "2F1" );

orthogonal_polynomials,2F1

(4)

See Also

FunctionAdvisor

FunctionAdvisor/class_members

FunctionAdvisor/classify_function

FunctionAdvisor/topics

 


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