convert special functions into erf related functions - Maple Help

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convert/erf_related - convert special functions into erf related functions

Calling Sequence

convert(expr, erf_related)

Parameters

expr

-

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

Description

• 

convert/erf_related converts, when possible, special functions into erf related functions. The erf related functions are

FunctionAdvisor( erf_related );

The 8 functions in the "erf_related" class are:

FresnelC,FresnelS,Fresnelf,Fresnelg,dawson,erf,erfc,erfi

(1)

Examples

_C1KummerM12,32,z2+_C2zKummerU1,32,z2

_C1KummerM12,32,z2+_C2zKummerU1,32,z2

(2)

convert,erf_related

12π2_C2zⅇz2_C1erfz2z2+_C2zπⅇz2z2

(3)

_C1HermiteH1,z+_C2HermiteH1,z

_C1HermiteH1,z+_C2HermiteH1,z

(4)

convert,erf_related

12_C1πⅇz2erfz+12_C1πⅇz22_C2z

(5)

2z12WhittakerM14,14,zπ12ⅇ1z2z34+πzLaguerreL12,12,z2

2zWhittakerM14,14,zπⅇ12zz3/4+πzLaguerreL12,12,z2

(6)

convert,erf_related

erfz+zerfz2z2

(7)

See Also

convert, convert/to_special_function, convert[erf], FunctionAdvisor


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