Mark Coffey (Department of Physics, Colorado School of Mines)
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This talk introduces the Mellin and generalized Mellin transforms, reviewing several of their important properties, and briefly discussing mathematical applications. With also an introduction of hypergeometric functions, generalized Mellin transforms are developed that have polynomial factors with zeros confined to a vertical line in the complex plane. Properties of these polynomials including recurrences and functiona lequations are described. Connections with other areas of mathematics will be mentioned
.Joint work with Matthew Lettington, Cardiff University.
Mellin transforms with factors with zeros only on the critical line