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convert/GAMMA_related

convert special functions in an expression into GAMMA related functions

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

convert(expr, GAMMA_related)

Parameters

expr

-

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

Description

• 

convert/GAMMA_related converts, when possible, the special functions in an expression into GAMMA_related functions. The GAMMA_related transcendental functions are

FunctionAdvisor( GAMMA_related );

The 8 functions in the "GAMMA_related" class are:

Β,Γ,binomial,doublefactorial,factorial,lnGAMMA,multinomial,pochhammer

(1)

Examples

WhittakerW12+1a2,1a2,zzahypergeoma,1+a,z

WhittakerW12+12a,12a,zzahypergeoma,1+a,z

(2)

convert,GAMMA_related

Γa,zⅇ12zaΓaz12+12aΓa,z2ⅇ12zaz12+12a

(3)

zaKummerU1,a+1,zⅇz+zhypergeom1,1,1,1,2,2,2,z

zaKummerU1,1+a,zⅇz+zhypergeom1,1,1,1,2,2,2,z

(4)

convert,GAMMA_related

Γa,z+zhypergeom1,1,1,1,2,2,2,z

(5)

LaguerreLa,a,z

LaguerreLa,a,z

(6)

convert,GAMMA_related

{1a=0sinπaπaotherwiseaΓa,zza+{1a=0sinπaπaotherwiseaΓaza

(7)

See Also

convert

convert/to_special_function

FunctionAdvisor

 


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