080 Roger Barnard

Roger Barnard (Texas Tech University, USA)// On sharp bounds for ratios of k-balanced hypergeometric functions (Joint work with Kendall C. Richards, Southwestern University and Elyssa N. Sliheet, Southwestern Methodist University) // Abstract: In this talk we begin with a brief history of how the authors’ research, originally in Geometric Function Theory, developed into applications of Special Function Theory to a variety of fields, giving examples. Then we discuss one of our latest results in Special Function Theory i.e. determining the sharp bounds for ratios of k-balanced hypergeometric functions.