设f复平面C内的超越亚纯函数,R是一个有理函数且R≠0,后是一个正整数.并假设,的零点重级至少为忌k1,至多有限个零点例外.则f(k)-R有无限多个零点.
Let f be a transcendental meromorphic function in C:, R 0 be a rational function, and let k be a positive integer. Suppose that all zeros of f have multiplicity at least k + 1, except possibly finite many. Then f(k)- R has infinitely many zeros.