Lin, Li JianSrivastava, H.M.2009-08-272009-08-2719952009-08-27http://hdl.handle.net/1828/1649The main object of this paper is first to answer a question of Campbell and Singh in the affirmative, and then show that Komatu's conjecture and Thomas' conjecture are false at least in some cases.enunivalent functionKomatu's conjectureThomas' conjecturestarlike functionsalpha-spirallike functionsclose-to-convex functionsPolya-Schoenberg conjectureintegral convolutionRiemann zeta functiontechnical reports (mathematics and statistics)Some questions and conjectures in the theory of univalent functionsTechnical ReportDepartment of Mathematics and Statistics