In this paper, we introduce and investigate a subclass of analytic and bi-univalent functions in the open unit disk. Upper bounds for the second and third coefficients of functions in this subclass are founded. Our results, which are presented in this paper, generalize and improve those in related works of several earlier authors.

We revisit the problem of analytically computing one-point functions for scalar fields in planar AdS black holes arbitrary dimension, which are sourced by Weyl squared tensor. analyze terms power series expansions around boundary using method Frobenius. clarify pole structure final answer operator mixing, as argued previously Grinberg and Maldacena. generalize techniques to also obtain analytic...