The Rocky Mountain Journal of Mathematics, Vol. 17, No. 2 (SPRING 1987), pp. 371-384 (14 pages) Let Cn(x; β\q) be the continuous q-ultra-spherical polynomial and Dn(x; β\q) be the q-ultraspherical ...

For all of the recent strides we’ve made in the math world—like a supercomputer finally solving the Sum of Three Cubes problem that puzzled mathematicians for 65 years—we’re forever crunching ...

Mathematics is often about uncovering patterns. For example, certain areas of topology revolve around categorizing knots or geometric shapes, and number theory explores properties such as the ...

Trigonometric sums and summation formulas have long served as essential tools for elucidating periodic phenomena across mathematics and the physical sciences. These techniques entail the explicit ...