"under this influence" is a correct and usable phrase in written English.
You can use it to refer to something that is affected or caused by a certain influence. For example, "Many experts believe that crime rates have been rising under this influence of social media."
Ion Heliade Rădulescu, who came under this influence, founded the first Romanian newspaper in Walachia and the Societatea Filarmonică (1833), which later created a national theatre in Bucharest.
David's Deposition (c. 1515) and the Crucifixion (c. 1510 15) were painted under this influence and are remarkable for their dramatic movement.
Under this influence, Liang moved away from a cosmological Confucianism, in which order was static and the emperor the "polestar," toward a revolutionary notion of total social mobilization.
Under this influence, the KGB was broken up and restructured, partly in the genuine hope that the security force would never again enjoy its lost influence but partly to ensure that the new, even smaller and less representative oligarchic elite were unthreatened.
Under this influence, his essays occasionally refer to the "the finer arts" of painting, music, sculpture, and poetry (CL, 158; SOT 278; OT, 264).
Under this influence, the distortion of the symmetry around the Nd3+ ions leads to their polarization, which increases the probability for electronic dipole allowed transitions [34].
Under Francis I (1515 47) this influence grew stronger, finding notable expression in the new Hôtel de Ville.
The basic assumption of this method is that each prior event has some influence on the main event under investigation and that this influence weight varies as described by the formulae below.
When Mercury goes retrograde (three times this year), communications of all types go "haywire!" Under this planetary influence, you'll experience misunderstandings and communication failures like you've never seen.
And another question we might want to ask is whether it's even a good thing for that ratio to be so high.Full disclosure: I am writing this under the influence of two rather trying days as a parent in a two-earner household.
A firm business model changes overtime and this under the influence of actors in its network as they interact with the firm or disengage from activities with this firm (Doganova and Eyquem-Renault 2009).
