Most nonlinear equations can be solved by using the Parker-Sochacki method, which is a slight variation of the auxiliary variable method.
ATP International Series | World Series | World Series of Poker | ATP International Series Gold | Star Trek: The Original Series | ATP World Tour 250 series | Buffy the Vampire Slayer (TV series) | series | ATP World Tour 250 Series | Gossip Girl (TV series) | Casualty (TV series) | House (TV series) | The Twilight Zone (1959 TV series) | One Tree Hill (TV series) | limited series | Lost (TV series) | NCIS (TV series) | 90210 (TV series) | The Outer Limits (1963 TV series) | Sprint Cup Series | Monk (TV series) | Angel (TV series) | The Avengers (TV series) | Top Gear (2002 TV series) | Heartbeat (UK TV series) | ATP World Tour 500 series | Six Feet Under (TV series) | Power Rangers | Tyrone Power | Cold Case (TV series) |
which will not be solvable with regular power series methods if either p(z)/z or q(z)/z2 are not analytic at z = 0.