Hypergeometric functions are at the heart of many analytical and applied mathematical investigations. These functions, generally defined via power series that extend the geometric series, have been ...

Transactions of the American Mathematical Society, Vol. 359, No. 3 (Mar., 2007), pp. 1161-1189 (29 pages) We consider sums of the form $\sum_{j=0}^{n-1}F_{1}(a_{1}n+b ...

Have you ever found yourself endlessly dragging that little Excel fill handle, trying to populate rows or columns with numbers, dates, or formulas? It’s tedious, time-consuming, and let’s be ...

A summation social choice function is a social choice function whose choice sets are determinable from maximum sums of utilities that preserve individual preference. Assuming the set of alternatives ...

While the large proportion of our genome that does not instruct our cells to form proteins has been harder to study than protein-coding genes, it has been shown to have vital physiological functions.