convert an expression to MeijerG form - Maple Help

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convert/MeijerG - convert an expression to MeijerG form

Calling Sequence

convert( expr, MeijerG, opt_1, opt_2, ... )

Parameters

expr

-

expression

opt_i

-

optional arguments, see convert/to_special_function

Description

• 

The convert( expr, 'MeijerG') command converts the functions found in expr into their equivalent MeijerG representation, whenever possible. Most special and all elementary functions can be so converted.

Examples

BesselKn,z:

BesselKn,z=convertBesselKn,z,MeijerG

BesselKn,z=12MeijerG,,12n,12n,,14z2

(1)

hypergeoma,b,c,z:

hypergeoma,b,c,z=converthypergeoma,b,c,z,MeijerG

hypergeoma,b,c,z=ΓcMeijerG1a,1b,,0,1c,zΓaΓb

(2)

Elementary functions are not converted by default (see convert/to_special_function)

convertsinz,MeijerG

sinz

(3)

To convert them use either of the optional arguments: include=elementary or include=all

sinz:

sinz=convertsinz,MeijerG,include=all

sinz=πMeijerG,,12,0,14z2

(4)

See Also

convert, convert/hypergeom, convert/to_special_function, MeijerG

References

  

Prudnikov, A.P.; Brychkov, Yu; and Marichev, O. Integrals and Series. Gordon and Breach Science, 1990. Vol. 3: More Special Functions.

  

Roach, K. "Meijer G Function Representations." In Proceedings of ISSAC '97, pp. 205-211. Edited by Wolfgang Kuchlin. New York: ACM Press, 1997.


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