关于q差分多项式的零点及唯一性的几个结果

Some Results on the Zeros and Uniqueness of q Difference Polynomials

本文研究了当f(z)是零级的超越亚纯函数时,差分多项式f^(n)(z)+a(z)^(m)П_(k-1)f^(k)(q_(k)z)的值分布;以及当f(z)和g(z)是两个零级超越整函数时,f^(n)(z)+a(z)^(m)П_(k-1)f^(k)(q_(k)z)和g^(n)(z)+a(z)^(m)П_(k-1)g^(k)(q_(k)z)的分担值问题.

In this paper,we study the value distribution of difference polynomial f^(n)(z)+a(z)^(m)П_(k-1)f^(k)(q_(k)z) when f(z) is a transcendental meromorphic function of zero order,and the value sharing problem of f^(n)(z)+a(z)^(m)П_(k-1)f^(k)(q_(k)z) and g^(n)(z)+a(z)^(m)П_(k-1)g^(k)(q_(k)z)when f(z)and g(z)are transcendental entire functions of zero order.