In this paper, we study some growth properties of entire functions represented by a vector valued Dirichlet series on the basis of generalized relative Ritt order and generalized relative Ritt lower order.

Introduction The business value research, after the initial findings of missing impact of IT systems, has focused on alternate mechanisms that affect performance of IT systems (Loveman 1994, Barua and Mukhopadhayay 2000, Brynjoffsson and Hitt 1996). Amongst the various processes that affect the value realization of IT, a critical factor is related to the complementary processes and mechanisms t...

In 7 experiments, undergraduates judged the force exerted by a videotaped standing puller, a computer-generated (stick-figure) puller, or a computer-generated inverted pendulum. Single and stepwise multiple regression analyses determined the kinematic variables exploited by the participants. Results show that (a) judgments correlated highly with force and improved with feedback; (b) judgments c...

In the paper we establish some new results depending on the comparative growth properties of composition of entire functions using relative $L^{ast }$-order (relative $L^{ast }$-lower order) as compared to their corresponding left and right factors where $Lequiv Lleft( rright) $ is a slowly changing function.

in this paper, we introduce the idea of relative order and type of entire functions represented by banach valued dirichlet series of two complex variables to generalize some earlier results.proving some preliminary theorems on the relative order, we obtain sum and product theorems and we show that the relative order of an entire function represented by dirichlet series is the same as that of it...

The standard measure for the quality of online algorithms is competitive ratio. This generally applicable, and some problems it works well, but others fails to distinguish between that have very different performance. Thus, ever since its introduction, researchers worked on improving measure, defining variants, or measures based other concepts improve situation. Relative worst-order analysis (R...

We show that the naive mean-field approximation correctly predicts leading term of logarithmic lower tail probabilities for number copies a given subgraph in G(n,p) and arithmetic progressions length random subsets integers entire range densities where is viable. Our main technical result provides sufficient conditions on maximum degrees uniform hypergraph H guarantee edges, induced by binomial...

in this article we consider relative iteration of entire functions and studycomparative growth of the maximum term of iterated entire functions withthat of the maximum term of the related functions.