Method on @sym: polylog (s, z) ¶

Symbolic polylogarithm function.

Returns the polylogarithm of order s and argument z.

Example:

syms z s
polylog(s, z)
  ⇒ ans = (sym) polylog(s, z)
diff(ans, z)
  ⇒ (sym)
      polylog(s - 1, z)
      ─────────────────
              z

The polylogarithm satisfies many identities, for example:

syms s positive
polylog (s+1, 1)
  ⇒ (sym) ζ(s + 1)
zeta (s+1)
  ⇒ (sym) ζ(s + 1)

See also: @sym/dilog, @sym/zeta.

Package: symbolic