express an indefinite sum as a Hypergeometric function - Maple Help

Online Help

All Products    Maple    MapleSim


Home : Support : Online Help : Mathematics : Discrete Mathematics : Summation and Difference Equations : SumTools : sumtools/sumtohyper

sumtools[sumtohyper] - express an indefinite sum as a Hypergeometric function

sumtools[Sumtohyper] - express an indefinite sum as a Hypergeometric function

Calling Sequence

sumtohyper(f, k)

Sumtohyper(f, k)

Parameters

f

-

expression

k

-

name, summation variable

Description

• 

The function sumtohyper converts the sum

kfk

  

to be taken over all integers k, involving exponentials, factorials, binomial coefficients, and Pochhammer symbols into hypergeometric notation. The procedure Sumtohyper is the corresponding inert form which gives the result in terms of an unevaluated Hypergeom expression.

• 

The command with(sumtools,sumtohyper) allows the use of the abbreviated form of this command.

Examples

withsumtools:

sumtohyperbinomialn,k,k

2n

(1)

Sumtohyperbinomialn,k,k

Hypergeomn,,1

(2)

sumtohyperbinomialn,k2,k

Γ1+2nΓn+12

(3)

sumtohyperbinomialn,k2binomialn1,k2,k

3n2Γ2n1Γn2n

(4)

See Also

hypergeom, sum, sumtools


Download Help Document

Was this information helpful?



Please add your Comment (Optional)
E-mail Address (Optional)
What is ? This question helps us to combat spam