Abstract: A new class $\mathcal H_q(\alpha, b, n)$ of Bazilevi\v c functions of type $\alpha$ defined in terms of quasi-subordination is presented. We obtain the coefficient estimates as well as the Fekete-Szeg\"o inequality of functions that are related to the new class. The improved results for...
Abstract: The authors study the small oscillations of a heavy viscous liquid in a container closed by an elastic membrane. From the equations of the problem, they obtain its variational formulation, then an operatorial equation in a suitable Hilbert space. By a simple change of the...
Abstract: This paper develops properties of the adjacency-type sequences defined from the adjacency matrix of the Cayley diagram for the direct product of two cyclic groups of order n and m. Also, we study the adjacency-type sequences modulo a from the generating matrices of the adjacency-type...
Abstract: In this paper several characterizations of fuzzy residual sets are established and the criteria for preservation of the fuzzy residuality of fuzzy sets under fuzzy continuous and fuzzy open functions between fuzzy topological spaces, are obtained. Keywords: Fuzzy nowhere dense set, fuzzy somewhere dense...