`symprod`

Symbolic product of a sequence.

Category: Mathematics > Calculus

Syntax

P = symprod(f, k, a, b)

Product of f as the index k runs from a to b.

Description

For numeric limits the product is evaluated exactly: symprod(k, k, 1, 5) is 120. With a symbolic upper limit the result is a closed form when one is known, and symprod(k, k, 1, n) is factorial(n).

Input arguments

f: Symbolic expression in the index.
k: Product index.
a, b: Lower and upper limits, possibly symbolic.

Output arguments

P: Symbolic product.

Example

Factorial as a product

syms k n
symprod(k, k, 1, 5)
symprod(k, k, 1, n)

Output

ans = 120
ans = factorial(n)

See also

symsum prod factorial int