Geometric function theory is the branch of complex analysis which deals with the geometric properties of analytic functions. Its origins are traced to Gronwall's proof of the area theorem and to Bieberbach's estimate for the second coefficient of a normalized univalent function in the unit disk and have remained one of the active fields of the current research. One of the most important steps for the development of the geometric function theory is to find new observational and theoretical results together with their various applications. The cornerstone of geometric function theory is the theory of univalent functions, but new related topics appeared and developed with many interesting results and applications.

Based on the success of the first issue from 2010, we hope that these annual special issues will have a long-term impact and in time gather a community around them in the same way a successful annual conference does. The main aim of the special issue is to invite the authors to submit their original research articles which provide not only new results or methods but may have a great impact on other people in their efforts to broaden their knowledge and investigation and will stimulate the efforts in developing new results in geometric function theory. Review articles with some open problems are also welcome. Potential topics include, but are not limited to:

• Conformal mapping theory
• Differential subordinations and superordinations
• Entire and meromorphic functions
• Fractional calculus with applications
• General theory of univalent and multivalent functions
• Harmonic functions
• Quasiconformal mappings

Manuscripts submitted will be considered for publication with the understanding that the same work has not been published and is not under consideration for publication elsewhere.

Before submission authors should carefully read over the journal's Author Guidelines, which are located at http://www.hindawi.com/journals/ijmms/guidelines/. Prospective authors should submit an electronic copy of their complete manuscript through the journal Manuscript Tracking System at http://mts.hindawi.com/ according to the following timetable: