Difference between $state.transitionTo() and $state.go() in Angular ui-router

Are you referring to the AngularUI Router? If so, the wiki specifies the differences:

$state.go(to [, toParams] [, options])

Returns a Promise representing the state of the transition.

Convenience method for transitioning to a new state. $state.go calls $state.transitionTo internally but automatically sets options to { location: true, inherit: true, relative: $state.$current, notify: true }. This allows you to easily use an absolute or relative to path and specify only the parameters you’d like to update (while letting unspecified parameters inherit from the current state).

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$state.transitionTo(to, toParams [, options])

Returns a Promise representing the state of the transition.

Low-level method for transitioning to a new state. $state.go() uses transitionTo internally. $state.go() is recommended in most situations.