Method on @sym: symprod (f, n, a, b) ¶

Method on @sym: symprod (f, n, [a b]) ¶

Method on @sym: symprod (f, a, b) ¶

Method on @sym: symprod (f, [a b]) ¶

Method on @sym: symprod (f, n) ¶

Method on @sym: symprod (f) ¶

Symbolic product.

The product of the expression f as variable n changes from a to b. When n is omitted it is determined using symvar and defaults to x if f is constant. The limits a and b default to 1 and n respectively.

Examples:

syms n m x
symprod(sin(n*x), n, [1 3])
  ⇒ (sym) sin(x)⋅sin(2⋅x)⋅sin(3⋅x)
symprod(n, n, 1, m)
  ⇒ (sym) m!

Unevaluated product:

syms x m
symprod(sin(x), x, [1 m])
  ⇒ (sym)
        m
      ─┬─┬─
       │ │ sin(x)
       │ │
      x = 1

See also: @sym/symsum, @sym/prod.

Package: symbolic