On Residual Transcendental Extensions of a Valuation with rankv=2

Let v=v °v be a valuation of a field K with rankv=2. In this paper a residual transcendental extension w=w °w of v to K(x) is studied where w and w are the residual extensions of v and v respectively. A characterization of lifting polynomials is given and the constants w_{(K,v)}(c), Δ_{(K,v)}(c), δ_{(K,v)}(c) are defined for c, where (c,δ)∈K×G_{v} is the minimal pair defining w.