convert factorials and binomials to GAMMAs - Maple Help

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convert/GAMMA - convert factorials and binomials to GAMMAs

Calling Sequence

convert(expr, GAMMA, indets)

convertexpr,Γ,indets

Parameters

expr

-

expression

indets

-

(optional) indeterminate or set of indeterminates

Description

• 

The convert/GAMMA function converts factorials, binomials and multinomial coefficients in an expression to the GAMMA function.

• 

You can enter the command convert/GAMMA using either the 1-D or 2-D calling sequence. For example, convert(x!, GAMMA) is equivalent to convertx!,Γ.

• 

If an indeterminate or set of indeterminates is specified, then only factorials and binomials involving a specified indeterminate will be converted to the GAMMA function.

Examples

convertx!,Γ

Γx+1

(1)

convertbinomialm,3,Γ

16Γm+1Γm2

(2)

convertx!y!z!,Γ,x,y

Γx+1Γy+1z!

(3)

convertx+y!,Γ,x,y

Γx+y+1

(4)

See Also

convert, convert/binomial, convert/factorial


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