Ithaca College

Osman Yurekli, Professor of Mathematics, presented his research at 18th International Conference on Fibonacci Numbers and their Applications, held at Dalhousie University in Nova Scotia, July 1-7.  Professor Yurekli's research topic was A Pascal-like Triangle from a Special Function.  The abstract for the presentation follows.

This presentation is devoted to a new Pascal-like triangle appearing unexpectedly from a sequence of polynomials obtained from the derivatives of the special function Dawson’s integral.  We investigate the properties of the Pascal-like triangle and its applications. In addition, we discuss a generalization for the triangle and Dawson’s integral. It is also possible to obtain new Fibonacci-like sequences from the triangle and its generalizations.