%0 Journal Article %T On Residual Transcendental Extensions of a Valuation with rankv=2 %A Burcu Ozturk %A Figen Oke %J Sel£¿uk Journal of Applied Mathematics %D 2011 %I Sel?uk University %X Let v=v ¡ãv be a valuation of a field K with rankv=2. In this paper a residual transcendental extension w=w ¡ãw 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), ¦¤_{(K,v)}(c), ¦Ä_{(K,v)}(c) are defined for c, where (c,¦Ä)¡ÊK¡ÁG_{v} is the minimal pair defining w. %K Valued Fields %K Residual Transcendental Extensions %K Lifting Polynomials %K Krasner's constant. %U http://www.sumam.selcuk.edu.tr/12-2-10.html