We consider the class $$\Sigma (p)$$ of univalent meromorphic functions f on $${\mathbb D}$$ having a simple pole at $$z=p\in [0,1)$$ with residue 1. Let $$\Sigma _k(p)$$ be the class of functions in $$\Sigma (p)$$ which have k-quasiconformal extension to the extended complex plane $${\hat{\mathbb C}}$$ , where $$0\le k < 1$$ . We first give a representation formula for functions in this class and using this formula, we derive an asymptotic estimate of the Laurent coefficients for the functions in the class $$\Sigma _k(p)$$ . Thereafter, we give a sufficient condition for functions in $$\Sigma (p)$$ to belong to the class $$\Sigma _k(p).$$ Finally, we obtain a sharp distortion result for functions in $$\Sigma (p)$$ and as a consequence, we obtain a distortion estimate for functions in $$\Sigma _k(p).$$