College of Natural and Computational Sciences

Daniel GefrohDaniel J. Gefroh, Ph.D.

Associate Professor of Mathematics

Email: dgefroh@hpu.edu
Phone:(808) 356-5238
Office: BH 204

Education: PhD in Mathematics from UH Manoa in 1992, MS in Mathematics from CSU in 1985, BA in Mathematics from UNC in 1981

Professional Interests: Complex Analysis, Function Theory, and Entire Functions

Courses: Intermediate Algebra, Precalculus, Single Variable and Multivariable Calculus, Differential Equations, Linear Algebra, Probability Theory, Real and Complex Analysis


Research Interests-

Professor Gefroh's research is a special topic in Function Theory known as Entire Functions. The focus of his research is investigating properties of the class of entire functions with order at most two, relevant to the location of their zeros.  Esteemed mathematicians who have contributed to this area include Laguerre, Polya, Schur, Korevaar, Neumann, and de Bruijn. Notable initial results were inspired by failed attempts at solving or refuting the Riemann hypothesis. This conjecture continues to promote interest in this vein of research. Professor Gefroh is currently investigating properties of his composition product to address the problem on the location of the zeros of entire functions in this class, as one of several ongoing research projects.