Journal of Inequalities and Applications (Jan 2010)
On the Exponent of Convergence for the Zeros of the Solutions of <inline-formula> <graphic file="1029-242X-2010-428936-i1.gif"/></inline-formula>
Abstract
Let and be entire functions of order less than 1 with and transcendental. We prove that every solution of the equation , , being has zeros with infinite exponent of convergence.