Abstract: | Let k be a positive integer, b ≠ 0 be a finite complex number, let P be a polynomial with either deg P ≥ 3 or deg P = 2 and P having only one distinct zero, and let F{mathcal{F}} be a family of functions meromorphic in a domain D, all of whose zeros have multiplicities at least k. If, each pair of functions f and g in F, P(f)f(k){mathcal{F}, P(f)f^{(k)}} and P(g)g (k) share b in D, then F{mathcal{F}} is normal in D. |