2016-11-112016-11-112016Bernal González, L. y Bonilla Ramírez, A.L. (2016). Order of growth of distributional irregular entire functions for the differentiation operator. Complex Variables and Elliptic Equations, 61 (8), 1176-1186.1747-69331747-6941http://hdl.handle.net/11441/48455We study the rate of growth of entire functions that are distributionally irregular for the differentiation operator D. More specifically, given p ∈ [1,∞] and b ∈ (0, a), where a = 1 / 2 max{2, p}, we prove that there exists a distributionally irregular entire function f for the operator D such that its p-integral mean function Mp(f, r) grows not more rapidly than e r r−b. This completes related known results about the possible rates of growth of such means for D-hypercyclic entire functions. It is also obtained the existence of dense linear submanifolds of H(C) all whose nonzero vectors are D-distributionally irregular and present the same kind of growth.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Differentiation operatorIrregular vectorDistributionally irregular vectorHypercyclic operatorFrequently hypercyclic operatorRate of growthEntire functioninfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess10.1080/17476933.2016.1149820https://idus.us.es/xmlui/handle/11441/48455