We propose the Renyi information-generating function and discuss its properties. The relation between the Renyi information-generating function and Shannon entropy of order q > 0 is established, and several bounds are obtained. Furthermore, we introduce the Renyi divergence information-generating function and discuss its effect under monotone transformations. We present non-parametric estimators of the Renyi information-generating function and Golomb information-generating function. For three coherent systems, we calculate the values of the Renyi information-generating function and other well-established uncertainty measures. Similar behaviour of the Renyi information-generating function is observed. Finally, two chaotic maps are considered and then used to establish a validation of the proposed information-generating function.