This volume is a collection of papers presented at the Conference on Complex Analysis held at the University of Kentucky from May 18-22, 1976. The conference was organized to honor Professor S.M. Shah on his retirement, recognizing his significant contributions to various branches of complex analysis, including entire and meromorphic functions, univalent functions, and analytic number theory. The papers cover a wide range of topics in complex analysis, with a focus on geometric motivations and interpretations. The conference was supported by the National Science Foundation and the University of Kentucky Graduate School. The editors, J. D. Buckholtz and T. J. Suffridge, express their gratitude to the participants, organizers, and support staff for making the conference a success. The volume includes contributions from renowned mathematicians such as Lars V. Ahlfors, I. N. Baker, J. D. Buckholtz, and others, covering subjects like quasiconformal mappings, periodic entire functions, univalent functions, and more.This volume is a collection of papers presented at the Conference on Complex Analysis held at the University of Kentucky from May 18-22, 1976. The conference was organized to honor Professor S.M. Shah on his retirement, recognizing his significant contributions to various branches of complex analysis, including entire and meromorphic functions, univalent functions, and analytic number theory. The papers cover a wide range of topics in complex analysis, with a focus on geometric motivations and interpretations. The conference was supported by the National Science Foundation and the University of Kentucky Graduate School. The editors, J. D. Buckholtz and T. J. Suffridge, express their gratitude to the participants, organizers, and support staff for making the conference a success. The volume includes contributions from renowned mathematicians such as Lars V. Ahlfors, I. N. Baker, J. D. Buckholtz, and others, covering subjects like quasiconformal mappings, periodic entire functions, univalent functions, and more.