Affiliation:
1. Department of Mathematics, Technical University of Cluj-Napoca, 400114 Cluj-Napoca, Romania
2. Department of Mathematics and Informatics, Lucian Blaga University of Sibiu, 550012 Sibiu, Romania
Abstract
For p∈N*, let Σp denote the class of meromorphic p-valent functions. We consider an operator for meromorphic functions denoted by Tbn, which generalizes some previously studied operators. We introduce some new subclasses of the class Σp, associated with subordination using the above operator, and we prove that these classes are preserved regarding the operator Jp,γ, so we have symmetry when we look at the form of the class in which we consider the function g and at the form of the class of the image Jp,γ(g), where Jp,γ(g)(z)=γ−pzγ∫0zg(t)tγ−1dt, γ∈C with Reγ>p.
Subject
Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)
Reference21 articles.
1. Miller, S.S., and Mocanu, P.T. (2000). Differential Subordinations. Theory and Applications, Marcel Dekker Inc.
2. On some classes of meromorphic functions defined by subordination and superordination;Totoi;Opusc. Math.,2011
3. Totoi, A. (2010, January 3–5). Integral operators applied on classes of meromorphic functions defined by subordination and superordination. Proceedings of the Operator Theory Summer Conference, Timisoara, Romania.
4. Integral operators on some classes of meromorphic close-to-convex multivalent functions;Totoi;Extr. Math.,2012
5. Sălăgean, G.Ş. (1983). Subclasses of Univalent Functions, Springer. Lecture Notes in Mathematics.