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convert/Heun

convert to special functions of the Heun class

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

convert(expr, Heun)

Parameters

expr

-

Maple expression, equation, or a set or list of them

Description

• 

convert/Heun converts, when possible, hypergeometric, MeijerG and special functions into Heun functions; that is, into one of

FunctionAdvisor( Heun );

The 23 functions in the "Heun" class are:

(1)
• 

convert/Heun accepts as optional arguments all those described in convert[to_special_function].

Examples

An assorted sample of special and elementary functions

(2)

Their syntax (calling sequence) in Maple

(3)

A Heun representation for them, in these cases using HeunC

(4)

A sample of special and elementary functions not admitting HeunG representation

(5)

By default, the results are returned in terms of the lower Heun functions, that is, those with less parameters, in this case HeunB

(6)

A representation in terms of higher Heun functions, in this case HeunC, because these functions being converted belong to the 1F1 class, can be obtained specifying HeunC instead of Heun in the call to convert

(7)

See Also

convert

convert[`1F1`]

convert[`2F1`]

convert[to_special_function]

FunctionAdvisor

Heun functions

HeunB

HeunC

HeunG

 


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