In this paper, we find coefficient estimates by a new method making use of the Faber polynomial expansions for a comprehensive subclass of analytic bi-univalent functions, which is defined by subordinations in the open unit disk. The coefficient bounds presented in this paper would generalize and improve some recent works appeared in the literature. [ABSTRACT FROM AUTHOR]
Let T be the well-known topological N = 2 superconformal algebra. In this paper, we prove that every super-skewsymmetric super-biderivation of T is inner. Based on the result of super-biderivations, we show that all the linear super-commuting maps on T which have the form ψ(x) = λx + f (x)c are not standard. [ABSTRACT FROM AUTHOR]
Let p be a prime. In this paper we give a proof of the following result: A valued field (K, v) of characteristic p > 0 is p-henselian if and only if every element of strictly positive valuation is of the form xp - x for some x ∈ K. [ABSTRACT FROM AUTHOR]